Modular varieties of 𝒟-elliptic sheaves and the Weil-Deligne bound

DOI10.1515/CRELLE.2009.004zbMath1179.11016arXiv0802.1568OpenAlexW2067270477MaRDI QIDQ3600026

Mihran Papikian

Publication date: 10 February 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1568

zbMATH Keywords

modular varietiesWeil-Deligne bound\(\mathcal D\)-elliptic sheaves

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Finite ground fields in algebraic geometry (14G15) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Varieties over finite and local fields (11G25)

Related Items (3)

Toward good families of codes from towers of surfaces ⋮ On finite arithmetic simplicial complexes ⋮ Drinfeld-Stuhler modules

Cites Work

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• The number of rational points on Drinfeld modular varieties over finite fields
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• On a 𝑝-adic vanishing theorem of Garland
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝

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