PEL Modulispaces without $\mathbb C$-valued points

Details PEL Modulispaces without $\mathbb C$-valued points PEL Modulispaces without $\mathbb C$-valued points

2008-08-29

arxiv.org/abs/0808.4091v2

Mathematics

Algebraic Geometry

I gave a seminar on a special case of the results in this paper, at the ETH in Zuerich on April 23rd 2004

Scientific paper

We give several new moduli interpretations of the fibers of certain Shimura
varieties over several prime numbers. As a corollary we obtain that for every
prescribed odd prime characteristic $p$ every bounded symmetric domain
possesses quotients by arithmetic groups whose models have good reduction at a
prime divisor of $p$.

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