Geometry of Shimura varieties of Hodge type over finite fields

Details Geometry of Shimura varieties of Hodge type over finite fields Geometry of Shimura varieties of Hodge type over finite fields

2007-12-11

arxiv.org/abs/0712.1840v1

Proceedings of the NATO Advanced Study Institute on Higher dimensional geometry over finite fields, G\"ottingen, Germany, June

Mathematics

Number Theory

47 pages. Enlarged version of the three lectures we gave in July 2007 during the summer school "Higher dimensional geometry ov

Scientific paper

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.

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