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pro vyhledávání: '"RAPOPORT, A."'
Autor:
Hong, Jiuzu, Yu, Huanhuan
The coherence conjecture of Pappas and Rapoport, proved by Zhu, asserts the equality of dimensions for the global sections of a line bundle over a spherical Schubert variety in the affine Grassmannian and those of another line bundle over a certain u
Externí odkaz:
http://arxiv.org/abs/2412.15062
Autor:
Yao, Haodong
In this article, we prove a Kudla-Rapoport conjecture for $\mathcal{Y}$-cycles on exotic smooth unitary Rapoport-Zink spaces of odd arithmetic dimension, i.e. the arithmetic intersection numbers for $\mathcal{Y}$-cycles equals the derivatives of loca
Externí odkaz:
http://arxiv.org/abs/2404.14431
We prove a conjecture of Pappas and Rapoport about the existence of ''canonical'' integral models of Shimura varieties of Hodge type with quasi-parahoric level structure at a prime $p$. For these integral models, we moreover show uniformization of is
Externí odkaz:
http://arxiv.org/abs/2403.19771
In this article, we prove that a version of Tate conjectures for certain Deligne-Lusztig varieties implies the Kudla-Rapoport conjecture for unitary Shimura varieties with maximal parahoric level at unramified primes. Furthermore, we prove that the K
Externí odkaz:
http://arxiv.org/abs/2312.16906
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Akademický článek
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Autor:
Trentin, Stefania
In this work, we study the supersingular locus of the Shimura variety associated to the unitary group $\mathrm{GU}(2,4)$ over a ramified prime. We show that the associated Rapoport-Zink space is flat, and we give an explicit description of the irredu
Externí odkaz:
http://arxiv.org/abs/2309.11290
We describe the structure of the supersingular Rapoport-Zink space associated to the group of unitary similitudes of signature (2,n-2) for an unramified quadratic extension of p-adic fields. In earlier work, two of the authors described the irreducib
Externí odkaz:
http://arxiv.org/abs/2308.03816
Publikováno v:
Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales; abr-jun2024, Vol. 48 Issue 187, p383-395, 13p
We study some integral model of P.E.L. Shimura varieties of type A for ramified primes. Precisely, we look at the Pappas-Rapoport model (or splitting model) of some unitary Shimura varieties for which there is ramification in the degree 2 CM extensio
Externí odkaz:
http://arxiv.org/abs/2302.08295