Mixed Hodge structures and Siegel operators

DOI10.1515/crelle-2024-0064MaRDI QIDQ6633125

Shouhei Ma

Publication date: 5 November 2024

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Other groups and their modular and automorphic forms (several variables) (11F55) Variation of Hodge structures (algebro-geometric aspects) (14D07) Modular and Shimura varieties (14G35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Cohomology of arithmetic groups (11F75)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On mixed Hodge structures of Shimura varieties attached to inner forms of the symplectic group of degree two
• On Eisenstein series
• Stabile Modulformen und Eisensteinreihen. (Stable modular forms and Eisenstein series)
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• Mixed Hodge structures and automorphic forms for Siegel modular varieties of degree two
• Hirzebruch's proportionality theorem in the non-compact case
• Boundary cohomology of Shimura varieties. II: Hodge theory at the boundary
• Collapsing \(K3\) surfaces, tropical geometry and moduli compactifications of Satake, Morgan-Shalen type
• On the reductive Borel-Serre compactification. III: Mixed Hodge structures
• Compactification of arithmetic quotients of bounded symmetric domains
• Théorie de Hodge. II. (Hodge theory. II)
• On elliptic modular surfaces
• Théorie de Hodge. III
• The Siegel modular variety of degree two and level three
• The geometry on smooth toroidal compactifications of Siegel varieties
• Die Fortsetzbarkeit von Differentialformen auf arithmetischen Quotienten von hermiteschen symmetrischen Räumen.
• Holomorphic differential forms of degree N - 1 invariant under Γg
• Boundary cohomology of Shimura varieties, III: - Coherent cohomology on higher-rank boundary strata and applications to Hodge theory
• The Siegel modular variety of degree two and level four
• Towards a Dimension Formula for Automorphic Forms on O(II_2,10)
• Intersection Homology & Perverse Sheaves
• Mixed Hodge Structures
• Mixed Hodge modules

This page was built for publication: Mixed Hodge structures and Siegel operators