Incoherent Definite Spaces and Shimura Varieties

DOI10.1007/978-3-030-68506-5_5zbMath1475.11124arXiv2005.05188OpenAlexW3021263567MaRDI QIDQ4956860

Gross, Benedict H.

Publication date: 2 September 2021

Published in: Simons Symposia (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05188

zbMATH Keywords

unitary Shimura varietiesHermitian spaces

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (6)

Hecke eigensystems of automorphic forms (mod \(p)\) of Hodge type and algebraic modular forms ⋮ From sum of two squares to arithmetic Siegel–Weil formulas ⋮ On the superspecial loci of orthogonal type Shimura varieties ⋮ Arithmetic intersections of modular geodesics ⋮ Chow groups and \(L\)-derivatives of automorphic motives for unitary groups ⋮ The universal \(p\)-adic Gross-Zagier formula

Cites Work

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• The supersingular locus of the Shimura variety of \(\text{GU}(1,n-1)\). II
• Number of points of an algebraic curve
• On the motive of a reductive group
• Moduli of supersingular abelian varieties
• Which abelian surfaces are products of elliptic curves?
• On an exact mass formula of Shimura
• On Shimura varieties for unitary groups
• Good and semi-stable reductions of Shimura varieties
• Ekedahl-Oort and Newton strata for Shimura varieties of PEL type
• Construction of class fields and zeta functions of algebraic curves
• On the algebraic curves uniformized by arithmetical automorphic functions
• On the zeta-functions of the algebraic curves uniformized by certain automorphic functions
• Cycles on Siegel threefolds and derivatives of Eisenstein series
• Supersingular $K3$ surfaces
• Arithmetic Hirzebruch Zagier cycles
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Travaux de Shimura

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