Comparaison entre cohomologie cristalline et cohomologie étale $p$-adique sur certaines variétés de Shimura

DOI10.24033/bsmf.2577zbMath1183.14036arXiv0704.1347OpenAlexW1680503076MaRDI QIDQ3649123

Sandra Rozensztajn

Publication date: 3 December 2009

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1347

zbMATH Keywords

p-adic Hodge theoryShimura varieties of PEL type

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Modular and Shimura varieties (14G35) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (2)

Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties ⋮ On the interior motive of certain Shimura varieties: the case of Picard surfaces

Cites Work

• Semi-stable reduction and decomposition of de Rham complexes with coefficients
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• \(p\)-torsion étale cohomology and crystalline cohomology in semi-stable reduction
• Compactification of degenerate abelian schemes over a regular divisor
• Equations différentielles à points singuliers réguliers
• On the $p$ adic nearby cycles of log smooth families
• Topologie log-syntomique, cohomologie log-cristalline et cohomologie de Čech
• Points on Some Shimura Varieties Over Finite Fields
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