html,body{font-size:16px !important;line-height:18px !important;height:100%;color:#333;padding:0;margin:0}*,html,body{font-family:"Poppins",sans-serif;font-weight:normal;letter-spacing:normal;-webkit-font-smoothing:antialiased;-webkit-box-sizing:border-box;-moz-box-sizing:border-box;box-sizing:border-box;text-rendering:geometrirecision;-webkit-tap-highlight-color:rgba(0,0,0,0);outline:none !important;letter-spacing:-0.1px;word-wrap:break-word}.row{display:flex;flex-wrap:wrap;margin-left:-10px;margin-right:-10px;padding:0 2px}.col{flex:0 0 auto;width:25%;margin-bottom:20px;padding-left:10px;padding-right:10px}.col .entity-item{height:100%}strong,b{font-family:"Poppins",sans-serif;font-weight:bold}figure{margin:0;padding:0}a{text-decoration:none;color:#174fae}a:hover{text-decoration:underline}pre{padding:5px;margin-top:20px;background:#f3f3f3;border:1px solid #ccc}p{font-size:18px;line-height:24px}.link{cursor:pointer}.nowrap{white-space:nowrap}.overflow-auto{overflow:auto !important;-webkit-overflow-scrolling:touch !important}.h1,.h2,.h3,.h4,.h5,.h6,h1,h2,h3,h4,h5,h6{font-family:"Poppins",sans-serif;font-weight:bold}.multiple:after{content:',';margin-right:4px}.multiple:last-child:after{content:'';margin-right:0}.icon-home{display:flex;justify-content:center;align-items:center}.icon-home svg{fill:#fff;width:15px;height:15px}.icon svg{fill:#fff;width:35px;height:35px}.m-0{margin:0 !important}.p-0{padding:0 !important}.mt-0{margin-top:0 !important}.mb-0{margin-bottom:0 !important}.mb-2{margin-bottom:10px !important}.me-1{margin-right:5px !important}.me-2{margin-right:10px !important}.mb-4{margin-bottom:20px !important}.mt-2{margin-top:20px !important}.mt-1{margin-top:10px !important}.opacity-0{opacity:0 !important}hr{border:0;border-top:1px solid #ccc}.hide-scrollbar{overflow-x:scroll;scrollbar-width:none}.hide-scrollbar::-webkit-scrollbar{display:none}.d-none{display:none !important}.btn{display:inline-block;font-weight:400;line-height:1.5;color:#212529;text-align:center;text-decoration:none;vertical-align:middle;cursor:pointer;-webkit--select:none;-moz--select:none;-select:none;background-color:transparent;border:1px solid transparent;padding:.375rem .75rem;font-size:1rem;border-radius:.25rem;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}.btn:hover{text-decoration:none}.btn-link{font-weight:400;color:#0d6efd;text-decoration:none}.btn-group-sm>.btn,.btn-sm{padding:.25rem .5rem;font-size:.875rem;border-radius:.2rem}.btn-outline-dark{color:#212529;border-color:#212529}.btn-outline-dark a{color:#212529}.btn-outline-dark:hover{color:#fff;background-color:#212529;border-color:#212529}.btn-outline-dark:hover a{color:#fff;text-decoration:none}.btn-outline-light{color:#f8f9fa;border-color:#f8f9fa}.btn-outline-light:hover{color:#000;background-color:#f8f9fa;border-color:#f8f9fa}.btn-secondary{color:#fff;background-color:#6c757d;border-color:#6c757d}.btn-dark{color:#fff;background-color:#001c4c;border-color:#001c4c}.btn-danger{color:#fff;background-color:#dc3545;border-color:#dc3545}.btn-light{color:#000;background-color:#f8f9fa;border-color:#f8f9fa}.btn-rounded{border-radius:50px}.btn-dark:hover{color:#ccc}.btn-outline-dark{color:#212529;border-color:#212529}.btn-outline-dark:hover{color:#fff;background-color:#212529;border-color:#212529}.btn-movie{font-size:25px;line-height:25px;padding:0;border-radius:50% !important;width:60px;height:60px;margin:0 15px 0 0;display:flex;justify-content:center;align-items:center}.btn-movie svg{width:30px;height:30px}.btn-icon{line-height:0}.btn-icon svg{fill:#fff;width:1.1em;height:1.1em}.btn-movie:hover svg{fill:#fff}.breadcrumb{font-size:16px;line-height:30px}.breadcrumb{display:flex;flex-wrap:wrap;padding:0;margin-bottom:1rem;list-style:none}.breadcrumb-item+.breadcrumb-item{padding-left:.5rem}.breadcrumb-item+.breadcrumb-item::before{float:left;padding-right:.5rem;color:#6c757d;content:"/";font-size:12px}.sidebar{display:flex;justify-content:space-between;height:100%;flex-direction:column}.sticky-box{height:100%;width:100%;margin-bottom:20px;padding:0}.banner{position:sticky;top:10px;margin-bottom:20px;margin-left:auto;margin-right:auto}.banner ins{position:sticky;top:10px;text-decoration:none;display:block;overflow:hidden !important}.banner ins:after{content:'PUBLICIDAD';background:#f5f5f5;width:100%;display:block;text-align:center;font-size:12px;line-height:12px;padding:4px 0}.bottom-ad-module{display:none}.roba-mobile{display:none}.roba-mobile,.roba-desktop{min-height:600px}.roba-desktop{display:flex;justify-content:start;align-items:end;flex-direction:column;width:320px;max-width:320px}.board-article-outbrain{margin-bottom:40px}.input-group{position:relative;display:flex;flex-wrap:wrap;align-items:stretch;width:100%}.input-group>.form-control,.input-group>.form-select{position:relative;flex:1 1 auto;width:1%;min-width:0}.input-group:not(.has-validation)>.dropdown-toggle:nth-last-child(n+3),.input-group:not(.has-validation)>:not(:last-child):not(.dropdown-toggle):not(.dropdown-menu){border-top-right-radius:0;border-bottom-right-radius:0}.input-group>:not(:first-child):not(.dropdown-menu):not(.valid-tooltip):not(.valid-):not(.invalid-tooltip):not(.invalid-){margin-left:-1px;border-top-left-radius:0;border-bottom-left-radius:0}.form-control{display:block;width:100%;padding:.375rem .75rem;font-size:1rem;font-weight:400;line-height:1.5;color:#212529;background-color:#fff;background-clip:padding-box;border:1px solid #ced4da;-webkit-appearance:none;-moz-appearance:none;appearance:none;border-radius:.25rem;transition:border-color .15s ease-in-out,box-shadow .15s ease-in-out}.form-control-sm{min-height:calc(1.5em+.5rem+2px);padding:.25rem .5rem;font-size:.875rem;border-radius:.2rem}.container{width:1140px;margin-left:auto;margin-right:auto}.top{margin-bottom:20px}.topbar-container{width:100%;background-color:#001c4c}.topbar{position:relative;display:flex;justify-content:center;padding:10px 0;z-index:2}.header-section{border-top:1px solid #fff;background-color:#eaede2;padding:10px 0;text-align:center}.header-section .header-section-title,.header-section .header-section-title a{font-family:"Poppins",sans-serif;font-weight:700;font-size:26px;line-height:26px;margin:0;padding:0;color:#001c4c}.menu-container{width:100%}.menu{position:relative;display:flex;justify-content:center;border-bottom:1px solid #ffffff59;padding:5px 0;z-index:2;background-color:#f3f3f3}.menu .navbar-nav{display:flex;flex-direction:row;list-style:none;padding:0;margin:0}.menu .navbar-nav .nav-link{display:block;padding:.5rem;text-decoration:none;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out;color:rgba(0,0,0,.55);font-weight:500;font-size:14px;line-height:14px;text-transform:uppercase}.form-search-container{padding:15px 0;width:auto;background-color:#e9f1f8}.form-search{display:flex;flex-direction:row;justify-content:center;width:1140px;margin-left:auto;margin-right:auto}.form-search form{display:flex;width:50%}.form-search .input-search-autocomplete{background-color:#ffffffa8}.section{width:100%;margin-bottom:40px}.section .section-header{display:flex;align-items:center;justify-content:space-between;border-top:3px solid #001c4c;border-bottom:1px solid #001c4c;margin-bottom:20px}.section .section-header p,.section .section-header h2,.section .section-header h1{font-size:24px;line-height:28px;font-weight:bold;color:#001c4c;font-size:24px;line-height:24px;padding:10px 0;margin:0}.entity-item{display:flex;flex-direction:column;position:relative;width:100%;border-bottom:4px solid #001c4c;background:#f3f3f3;box-shadow:0 0 4px #000;text-align:left;margin-bottom:0}.entity-item .entity-item-details{order:1;padding:10px}.entity-item .entity-title,.entity-item .entity-title a{font-size:18px;line-height:20px;font-family:"Poppins",sans-serif;font-weight:600;color:#333;text-decoration:none;margin-bottom:0;margin-top:0;text-transform:uppercase}.entity-item .entity-title small{font-size:14px;line-height:16px}.entity-item .entity-title a:before{content:"";top:0;left:0;right:0;bottom:0;display:block;margin:0;padding:0;position:absolute;z-index:2}.entity-item .entity-item-image{order:0}.entity-item .figure{position:relative;aspect-ratio:.66666667;display:flex;justify-content:center;align-items:center;background-color:#222;color:#fff;overflow:hidden}.entity-item .figure:after{content:var(--category-var);position:absolute;bottom:5px;right:5px;font-size:14px;line-height:14px;text-align:right;background:#2e579e;color:#fff;font-weight:bold;padding:3px 6px;border-radius:5px}.entity-item .figure .img{position:absolute;top:0;left:0;width:100%;height:100%;object-fit:cover}.footer{background-color:#001c4c;padding:20px 0}.footer .container{display:flex;flex-direction:column;justify-content:center;align-items:center;text-align:center}.footer p{font-size:14px;line-height:1;color:#fff;text-align:center;padding:0 10px}.footer a{color:#ccc}.gallery{display:grid;grid-auto-flow:column;grid-auto-columns:calc(100% / 1.1);gap:10px;overflow-x:scroll;scroll-snap-type:x mandatory;scroll-behavior:smooth}.gallery figure{scroll-snap-align:start;position:relative;aspect-ratio:16 / 9;border-radius:10px;border:1px solid #ccc;display:flex;justify-content:center;align-items:center;background-color:#222;color:#fff;width:100%}.gallery img{position:absolute;top:0;left:0;width:100%;height:100%;object-fit:cover;border-radius:10px}.video-gallery{display:grid;grid-auto-flow:column;grid-auto-columns:calc(100% / 1.1);gap:10px;overflow-x:scroll;scroll-snap-type:x mandatory;scroll-behavior:smooth}.video{scroll-snap-align:start;border-radius:10px;overflow:hidden}.video iframe{width:100%;height:100%;aspect-ratio:16 / 9}.entity-gallery .gallery-row>*{border:1px solid #ffffff00}.entity-gallery .gallery-row{display:grid;grid-auto-flow:column;grid-auto-columns:calc(100% / 4.06);gap:15px;overflow-x:auto;overflow-y:hidden;scroll-snap-type:x mandatory;scroll-behavior:smooth;scroll-padding:0}.entity-gallery .gallery-row-6{grid-auto-columns:calc(100% / 5.9)}.entity-gallery .gallery-column{width:100%;scroll-snap-align:start;object-fit:cover}.entity-gallery .entity-item{display:flex;flex-direction:column;position:relative;margin-bottom:0;height:100%}.carousel-wrapper{position:relative}.carousel-button{position:absolute;top:50%;transform:translateY(-50%);background-color:#00000099;color:white;border:0;padding:10px 10px;cursor:pointer;z-index:10;border-radius:100%;display:flex;justify-content:center;align-items:center}.carousel-button svg{fill:#fff;width:20px;height:20px}.carousel-prev{left:0}.carousel-next{right:0}.accordion{width:100%;border:1px solid #ccc;border-radius:8px}.accordion-item{border-top:1px solid #ccc}.accordion-header{display:flex;justify-content:start;align-items:center;padding:15px;cursor:pointer;font-weight:bold}.accordion-header .badge{background-color:#6c757d;color:#fff;padding:5px 10px;border-radius:4px;font-size:14px}.accordion-checkbox{display:none}.accordion-content{max-height:0;overflow:hidden;transition:max-height .3s ease;padding:0 10px;background-color:#fff}.accordion-checkbox:checked ~ .accordion-content{max-height:500vh;padding:0 10px}.accordion-content .table{width:100%;margin-top:10px;margin-bottom:10px;border-collapse:collapse}.accordion-content .table td{padding:10px;border:1px solid #ddd}.accordion-item:first-of-type{border-top:0}.accordion-header::after{flex-shrink:0;margin-left:auto;content:"+";background-repeat:no-repeat;background-size:1.25rem;transition:transform .2s ease-in-out}.accordion-header h4{font-weight:normal}.accordion-content p{margin-top:0}.no-disponible{text-align:center}@media(max-width:1024px){.container{width:100%}.top{margin-bottom:0}.other-container{width:100%;margin:0;padding-left:15px;padding-right:15px}.col{flex:0 0 auto;width:50%}.menu{display:block}.aside-container{display:none}.form-search{width:100%}.form-search form{display:flex;width:100%;margin:0 15px}.entity-item .entity-title,.entity-item .entity-title a{font-size:16px;line-height:18px}.breadcrumb{margin-bottom:10px;padding-left:15px;padding-right:15px}.gallery{grid-auto-columns:calc(100% / 1.1)}.entity-gallery .gallery-row{grid-auto-columns:calc(100% / 2.3)}.section .section-header p,.section .section-header h2,.section .section-header h1{font-size:20px;line-height:22px}.roba-desktop{display:none}.roba-mobile{position:relative;top:0;margin-bottom:30px;display:flex;justify-content:start;align-items:center;flex-direction:column;width:calc(100vw - 30px);max-width:calc(100vw - 30px)}.roba-mobile ins{position:sticky;top:0}.bottom-ad-module{display:block;position:fixed;bottom:0;left:0;width:100%;margin:0;box-shadow:0 -1px 5px 0 rgba(0,0,0,.2);text-align:center;line-height:0;background:#f5f5f5;z-index:3000004;transition:transform .5s ease,opacity .5s ease}.bottom-ad-module-hidden{transform:translateY(100%);opacity:0}.bottom-ad-module .publi-box__close-btn{display:block;color:#666;background:#f5f5f5;z-index:1000001;font-size:17px;padding:5px;box-shadow:1px -2px 2px 0 rgba(0,0,0,.2);border-top-left-radius:8px;width:28px;height:28px;position:absolute;top:-28px;right:0;cursor:pointer}} .article{width:100%}.movie-header{position:relative;margin-bottom:40px;display:flex;flex-direction:row;align-items:flex-start}.movie-header .figure{position:relative;aspect-ratio:.66666667;display:flex;justify-content:center;align-items:center;background-color:#222;color:#fff;width:250px;flex:0 0 250px;overflow:hidden;margin-right:20px}.movie-header .figure .img{position:absolute;top:0;left:0;width:100%;height:100%;object-fit:cover}.movie-title-container{margin:0 auto;z-index:1;flex:1 1 100%;overflow:hidden}.movie-title-container .title{border-top:4px solid #001c4c;border-bottom:1px solid #ccc;font-weight:bold;font-size:36px;line-height:38px;margin:0;padding:10px 0;margin-bottom:20px;color:#001c4c;text-transform:uppercase}.movie-title-container .author-name{margin-bottom:30px}.movie-title-container .author-name a{font-weight:normal;text-transform:uppercase}.movie-title-container .categories{position:absolute;bottom:0;margin-bottom:0}.movie-title-container .categories-relative{position:relative}.movie-title-container .categories a{margin-bottom:10px;margin-right:5px}.movie-title-container .tagline{margin-bottom:20px}.movie-buttons{display:flex;align-items:center;margin-bottom:20px}.movie-buttons .btn-buy{font-size:20px;line-height:1;font-family:sans-serif;font-weight:normal;text-transform:uppercase;height:60px;justify-content:center;align-items:center;display:flex;padding:0 30px;border-radius:30px}.movie-buttons .discountPercentage{font-size:22px;line-height:22px;font-weight:bold;color:green}.movie-container{display:flex;flex-direction:row}.movie-body{margin:0;width:780px;flex:0 0 780px;overflow:hidden}.aside-container{text-align:right;width:320px;flex:0 0 320px;position:relative;margin-left:40px}.providers{width:100%}.providers .provider-container{margin-bottom:20px}.providers a{margin-right:10px;display:inline-block}.providers a:last-child{margin-right:0}.providers img{width:55px;height:55px;border-radius:5px}.providers .provider-type{display:block;background:#eaede2;padding:5px;margin-bottom:10px;font-weight:bold}.providers .provider-container:last-child{margin-bottom:0}.movie-info .row-info{display:flex;flex-direction:row;margin-top:10px;margin-bottom:10px}.movie-info .col-title{font-size:18px;line-height:24px;width:40%;flex:0 0 40%;display:flex;align-items:center;margin:0;font-weight:normal}.movie-info .col-title .icon{display:flex;margin-right:5px}.movie-info .col-title .icon svg{width:20px;height:20px}.movie-info .col-value{width:60%;flex:0 0 60%}.movie-info .col-value p{padding:0;margin:0}.movie-info .col-value .link{white-space:nowrap;text-overflow:ellipsis;display:block;overflow:hidden}.movie-share{position:fixed;bottom:10px;right:10px;z-index:1000}.movie-share .btn{font-size:25px;line-height:25px;padding:0;border-radius:50% !important;width:60px;height:60px;display:flex;justify-content:center;align-items:center;background:#064cc3}.movie-share .btn svg{width:30px;height:30px;fill:#fff}.circle-wrap{width:60px;height:60px;background:#ccc;border-radius:50%;margin:0 15px 0 0;z-index:1}.circle-wrap .circle{position:relative}.circle-wrap .circle .mask,.circle-wrap .circle .fill{width:60px;height:60px;position:absolute;border-radius:50%}.mask .fill{clip:rect(0,30px,60px,0);background-color:#000}.circle-wrap .circle .mask{clip:rect(0,60px,60px,30px)}.circle-wrap .inside-circle{font-family:sans-serif;width:49px;height:49px;border-radius:50%;background:#064cc3;color:#fff;position:absolute;z-index:100;font-weight:700;font-size:18px;line-height:18px;top:5px;left:5px;display:flex;justify-content:center;align-items:center}@media(max-width:1024px){.movie-body{width:100%;flex:0 0 100%;overflow:unset}.movie-header{flex-direction:column}.movie-header .figure{margin:0;width:100%;flex:0 0 100%;background-color:transparent;aspect-ratio:unset;padding:20px 50px}.movie-header .figure .img{position:relative;height:auto;box-shadow:0 0 10px 0 #333}.movie-title-container{width:100%;margin:0;padding-left:15px;padding-right:15px;text-align:center}.movie-title-container .title{border-top:0;font-size:26px;line-height:30px;margin:0 0 20px 0}.movie-buttons{flex-direction:column;margin-bottom:30px;border-bottom:1px solid #ccc;padding-bottom:20px}.movie-buttons .btn-buy{margin-bottom:10px}.movie-title-container .categories{position:relative}.movie-container{margin:0;padding-left:15px;padding-right:15px}.movie-info .row-info{flex-direction:column}.movie-info .col-title,.movie-info .col-value p,.movie-info .col-value a{margin:0}.movie-info .col-title{width:100%;flex:0 0 100%;font-weight:600}.movie-info .col-value{width:100%;flex:0 0 100%}}
By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments. The book is designed to be accessible to graduate students who have an understanding of schemes and abelian varieties.
PEL-type Shimura varieties, which are natural generalizations of modular curves, are useful for studying the arithmetic properties of automorphic forms and automorphic representations, and they have played important roles in the development of the Langlands program. As with modular curves, it is desirable to have integral models of compactifications of PEL-type Shimura varieties that can be described in sufficient detail near the boundary. This book explains in detail the following topics about PEL-type Shimura varieties and their compactifications:
A construction of smooth integral models of PEL-type Shimura varieties by defining and representing moduli problems of abelian schemes with PEL structures An analysis of the degeneration of abelian varieties with PEL structures into semiabelian schemes, over noetherian normal complete adic base rings A construction of toroidal and minimal compactifications of smooth integral models of PEL-type Shimura varieties, with detailed descriptions of their structure near the boundary Through these topics, the book generalizes the theory of degenerations of polarized abelian varieties and the application of that theory to the construction of toroidal and minimal compactifications of Siegel moduli schemes over the integers (as developed by Mumford, Faltings, and Chai).