Geometry of Shimura varieties of Hodge type over finite fields

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We present a general and comprehensive overview of recent developments in the theory of integral models of Shimura varieties of Hodge type. The paper covers the following topics: construction of integral models, their possible moduli interpretations, their uniqueness, their smoothness, their properness, and basic stratifications of their special fibres.
47 pages. Enlarged version of the three lectures we gave in July 2007 during the summer school "Higher dimensional geometry over finite fields", June 25 - July 06, 2007, Mathematisches Institut, Georg-August-Universität Göttingen

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Number Theory, Commutative Algebra, 11G10, 11G18, 14F30, 14G35, 14G40, 14K10, and 14J10

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http://salesiana.dossiersoluciones.com/handle/123456789/166750

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.1840
 http://arxiv.org/abs/0712.1840
 Proceedings of the NATO Advanced Study Institute on Higher dimensional geometry over finite fields, Göttingen, Germany, June 25 - July 06 2007, 197--243, IOS Press.

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