The Hodge Theory of Flat Vector Bundles on a Complex Torus

DOI10.2307/1998754zbMath0512.32019OpenAlexW4205849215MaRDI QIDQ4750978

Jerome William Hoffman

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998754

zbMATH Keywords

Hodge spectral sequencecohomology vanishing theoremshypercohomology sheavesDolbeault cohomologiesdeRham cohomologiescompact complex toruselliptic base curve

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Elliptic curves (14H52) (3)-folds (14J30) Hodge theory in global analysis (58A14) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Vanishing theorems (32L20)

Cites Work

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• An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• Equations différentielles à points singuliers réguliers
• Sur quelques points d'algèbre homologique
• Vector Bundles Over an Elliptic Curve

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