Zobrazeno 1 - 10
of 906
pro vyhledávání: '"RAPOPORT, M."'
We study variants of the local models constructed by the second author and Zhu and consider corresponding integral models of Shimura varieties of abelian type. We determine all cases of good, resp. of semi-stable, reduction under tame ramification hy
Externí odkaz:
http://arxiv.org/abs/1804.09615
Autor:
Rapoport, M., Zink, Th.
Publikováno v:
Cambridge J. Math. 5 (2017), 229-279
Let $O_D$ be the ring of integers in a division algebra of invariant $1/n$ over a p-adic local field. Drinfeld proved that the moduli problem of special formal $O_D$-modules is representable by Deligne's formal scheme version of the Drinfeld p-adic h
Externí odkaz:
http://arxiv.org/abs/1408.4071
We survey the theory of local models of Shimura varieties. In particular, we discuss their definition and illustrate it by examples. We give an overview of the results on their geometry and combinatorics obtained in the last 15 years. We also exhibit
Externí odkaz:
http://arxiv.org/abs/1011.5551
Autor:
Haines, T., Rapoport, M.
We study the local factor at p of the semi-simple zeta function of a Shimura variety of Drinfeld type for a level structure given at p by the pro-unipotent radical of an Iwahori subgroup. Our method is an adaptation to this case of the Langlands-Kott
Externí odkaz:
http://arxiv.org/abs/1005.2558
Autor:
Pappas, G., Rapoport, M.
We define and study certain moduli stacks of modules equipped with a Frobenius semi-linear endomorphism. These stacks can be thought of as parametrizing the coefficients of a variable Galois representation and are global variants of the spaces of Kis
Externí odkaz:
http://arxiv.org/abs/0811.1170
Autor:
Pappas, G., Rapoport, M.
We define the notion of a parahoric group scheme $\mathcal G$ over a smooth projective curve, and formulate four conjectures on the structure of the stack of $\mathcal G$-bundles, which generalize to this case well-known results on $G$-bundles with $
Externí odkaz:
http://arxiv.org/abs/0808.3743
Autor:
Haines, T., Rapoport, M.
We prove some basic facts on parahoric subgroups and on Iwahori-Weyl groups.
Comment: 11 pages. Appendix to the paper "Twisted loop groups and their affine flag varieties", by G. Pappas and M. Rapoport; arXiv:math/0607130
Comment: 11 pages. Appendix to the paper "Twisted loop groups and their affine flag varieties", by G. Pappas and M. Rapoport; arXiv:math/0607130
Externí odkaz:
http://arxiv.org/abs/0804.3788
Autor:
Orlik, S., Rapoport, M.
We prove that the Drinfeld halfspace is essentially the only Deligne-Lusztig variety which is at the same time a period domain over a finite field. This is done by comparing a cohomology vanishing theorem for DL-varieties, due to Digne, Michel, and R
Externí odkaz:
http://arxiv.org/abs/0705.1646
Autor:
Pappas, G., Rapoport, M.
We continue our study of the reduction of PEL Shimura varieties with parahoric level structure at primes p at which the group that defines the Shimura variety ramifies. We describe "good" $p$-adic integral models of these Shimura varieties and study
Externí odkaz:
http://arxiv.org/abs/math/0702286
Autor:
Pappas, G., Rapoport, M.
We develop a theory of affine flag varieties and of their Schubert varieties for reductive groups over a Laurent power series local field k((t)) with k a perfect field. This can be viewed as a generalization of the theory of affine flag varieties for
Externí odkaz:
http://arxiv.org/abs/math/0607130