A note on the Gauss-Manin connection for abelian schemes

DOI10.4171/rsmup/149MaRDI QIDQ6618799

Tiago J. Fonseca, Nils Matthes

Publication date: 15 October 2024

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

Gauss-Manin connectionabelian schemealgebraic de Rham cohomologyuniversal vector extension\(D\)-group scheme

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Algebraic theory of abelian varieties (14K05) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Cites Work

• Unnamed Item
• Algebraization, transcendence, and \(D\)-group schemes
• Anti-affine algebraic groups
• Differential algebraic groups of finite dimension
• Universal extensions and one dimensional crystalline cohomology
• Duality for the de Rham cohomology of an abelian scheme
• Moduli of representations of the fundamental group of a smooth projective variety. II
• On the differentiation of De Rham cohomology classes with respect to parameters
• Introduction to the Geometry of Foliations, Part A
• On the De Rham cohomology of algebraic varieties

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