Shimura varietyperiod invariants.Let G' ? G be an inclusion of reductive groups whose real points have a non-trivial discrete series. Combining ergodic methods of Burger- Sarnak and the author with a positivity argument due to Li and the classifi- cation of minimal K-types of discrete series...
One is the compactly supported l-adic cohomology, and the other is the nearby cycle cohomology, namely, the compactly supported cohomology of the nearby cycle complex for the canonical integral model of the Shimura variety over Z_p. We prove that the G(Q_p)-cuspidal part of these ...
Soc.Diamantis, N., O'Sullivan, C., The dimensions of spaces of holomorphic second-order automorphic ... N Diamantis,C O'Sullivan 被引量: 0发表: 2004年 Restriction of the holomorphic cohomology of a Shimura variety to a smaller Shimura variety Automorphic-formsL2-cohomologyHomologyProductsProject...
Restriction of the holomorphic cohomology of a Shimura variety to a smaller Shimura variety Project Euclid - mathematics and statistics online T Venkataramana,L Clozel - 《Duke Mathematical Journal》 被引量: 46发表: 1998年 Holomorphic Poisson Structures and its Cohomology on Nilmanifolds The subject ...
The geometry and cohomology of some simple Shimura varieties 热度: Attitude determination using vector observations and the singular value decomposition 热度: 相关推荐 a r X i v : m a t h / 0 5 1 0 3 4 9 v 1 [ m a t h . A G ] 1 7 O c t 2 0 0 5 ONWITTVECTORCOHOMO...
embeddingprojectivevariety.Let Px(n)be itsHilbert polynomial.The arithmetic genus of X is the quality Pn deemed by the equation: 尸z(o):1+(一1)～P。.‰if Xis a cun,e,me尸。:1一尸x(o).The ge。II砌c genus Pg=历。(动.For ...
The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology. Morel uses the method developed by Langlands, Ihara, and Kottwitz, which is...
The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology. Morel uses the method developed by Langlands, Ihara, and Kottwitz, which is...
The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology.\nMorel uses the method developed by Langlands, Ihara, and Kottwitz, which ...
Under some mild additional assumptions that are satisfied if the associated Shimura variety is proper and $\\mathsf{G}_{\\mathbb{Q}_p}$ is either unramified or residually split, we prove the generalisation of Mantovan's formula for the $l$-adic cohomology of the associated Shimura variety....