A note on special fibers of Shimura curves and special representations

DOI10.11650/tjm/190704zbMath1443.11095OpenAlexW2961320814WikidataQ127495179 ScholiaQ127495179MaRDI QIDQ2200901

Yih-Jeng Yu

Publication date: 23 September 2020

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1589875217

zbMATH Keywords

vanishing cyclesShimura curvesGalois representationsČerednik-Drinfel'd uniformizations

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Rigid analytic geometry (14G22) Sheaves in algebraic geometry (14F06)

Cites Work

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• Representations of \(GL(n)\) and division algebras over a p-adic field
• Regular models of certain Shimura varieties
• Schottky groups and Mumford curves
• Non-optimal levels of \(\text{mod }l\) modular representations
• Integral models of certain Shimura curves
• Rigid analytic geometry and its applications
• A note on modularity lifting theorems in higher weights
• Equivariant cohomology theories
• Rigid analytic spaces
• Automorphic forms on GL (2)
• Séminaire de Géométrie Algébrique Du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 I). Dirigé par A. Grothendieck avec la collaboration de M. Raynaud et D. S. Rim. Exposés I, II, VI, VII, VIII, IX
• ELLIPTIC MODULES. II
• Correspondance de Jacquet–Langlands pour les corps locaux de caractéristique non nulle
• Period Spaces for "p"-divisible Groups (AM-141)
• Group schemes of prime order

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