Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties

DOI10.1515/CRELLE.2011.099zbMath1242.14022OpenAlexW2153775322MaRDI QIDQ2879872

Kai-Wen Lan

Publication date: 5 April 2012

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

Full work available at URL: https://doi.org/10.1515/crelle.2011.099

zbMATH Keywords

Shimura varietiestoroidal compactification

Mathematics Subject Classification ID

Modular and Shimura varieties (14G35)

Related Items (13)

Vanishing theorems for coherent automorphic cohomology ⋮ On the rigid cohomology of certain Shimura varieties ⋮ Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields ⋮ Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties ⋮ Iwasawa main conjecture for Rankin-Selberg \(p\)-adic \(L\)-functions ⋮ Vanishing theorems for torsion automorphic sheaves on compact PEL-type Shimura varieties ⋮ De Rham comparison and Poincaré duality for rigid varieties ⋮ Anticyclotomic Euler systems for unitary groups ⋮ -ADIC -FUNCTIONS FOR UNITARY GROUPS ⋮ A \(p\)-adic arithmetic inner product formula ⋮ ALGEBRAIC TORI AS DEGENERATIONS OF ABELIAN VARIETIES ⋮ COMPACTIFICATIONS OF SUBSCHEMES OF INTEGRAL MODELS OF SHIMURA VARIETIES ⋮ Nearby Cycles of Automorphic Étale Sheaves, II

Cites Work

• Coherent cohomology, limits of discrete series, and Galois conjugation
• Some finiteness properties of adele groups over number fields
• Compactification of arithmetic quotients of bounded symmetric domains
• Functorial Properties of Toroidal Compactifications of Locally Symmetric Varieties
• Points on Some Shimura Varieties Over Finite Fields

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