Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci

DOI10.1142/10374zbMath1403.14002OpenAlexW2565180652MaRDI QIDQ5349340

Kai-Wen Lan

Publication date: 24 August 2017

Full work available at URL: https://doi.org/10.1142/10374

zbMATH Keywords

Shimura varietiesdeformation theoryKuga familiestoroidal compactificationsintegral modelsminimal compactificationsPEL-type

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Structure of modular groups and generalizations; arithmetic groups (11F06) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (11)

Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1) ⋮ Differential operators and families of automorphic forms on unitary groups of arbitrary signature ⋮ On the rigid cohomology of certain Shimura varieties ⋮ Nearby cycles of automorphic étale sheaves ⋮ Local-global compatibility for regular algebraic cuspidal automorphic representations when ⋮ -ADIC -FUNCTIONS FOR UNITARY GROUPS ⋮ Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of \(p\)-adic \(L\)-functions ⋮ COMPACTIFICATIONS OF SUBSCHEMES OF INTEGRAL MODELS OF SHIMURA VARIETIES ⋮ Nearby Cycles of Automorphic Étale Sheaves, II ⋮ Strata Hasse invariants, Hecke algebras and Galois representations ⋮ Nearly overconvergent Siegel modular forms

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