\(p\)-adic uniformization of unitary Shimura varieties

DOI10.1007/BF02698861zbMath0993.14008arXivmath/9909143MaRDI QIDQ1594568

Yakov Varshavsky

Publication date: 18 April 2001

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9909143

zbMATH Keywords

Shimura varietiesunitary groups\(p\)-adic uniformization

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

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ON NONCRITICAL GALOIS REPRESENTATIONS ⋮ On the p-adic cohomology of the Lubin-Tate tower ⋮ Level-raising for automorphic forms on 𝐺𝐿_{𝑛} ⋮ Arithmetic structure of CMSZ fake projective planes ⋮ Berkovich curves and Schottky uniformization. II: Analytic uniformization of Mumford curves ⋮ Local-global compatibility of mod \(p\) Langlands program for certain Shimura varieties ⋮ Canonical models of arithmetic \((1; e)\)-curves ⋮ On the Shimura variety having Mumford's fake projective plane as a connected component ⋮ \({\mathcal{L}}\)-invariants of \(p\)-adically uniformized varieties ⋮ Weight-monodromy conjecture for \(p\)-adically uniformized varieties ⋮ ON THE -ADIC COHOMOLOGY OF SOME -ADICALLY UNIFORMIZED SHIMURA VARIETIES

Cites Work

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• Tamagawa numbers
• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
• Coverings of p-adic symmetric regions
• \(p\)-adic uniformization of unitary Shimura varieties. II
• Étale cohomology for non-Archimedean analytic spaces
• Construction of p-Adic Unit Balls and the Hirzebruch Proportionality
• ELLIPTIC MODULES
• Calabi's conjecture and some new results in algebraic geometry
• TOWERS OF ALGEBRAIC CURVES UNIFORMIZED BY DISCRETE SUBGROUPS OF $PGL_2(k_w)\times E$
• UNIFORMIZATION OF ALGEBRAIC CURVES BY DISCRETE ARITHMETIC SUBGROUPS OF $ PGL_2(k_w)$ WITH COMPACT QUOTIENTS
• NONARCHIMEDEAN UNIFORMIZATION
• Period Spaces for "p"-divisible Groups (AM-141)

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