Holomorphic 1-forms on the moduli space of curves

DOI10.2140/gt.2024.28.3001MaRDI QIDQ6647550

Sara Torelli, Filippo F. Favale, Gian Pietro Pirola

Publication date: 3 December 2024

Published in: Geometry \& Topology (Search for Journal in Brave)

zbMATH Keywords

positivitymoduli space1-formsextension of sections

Mathematics Subject Classification ID

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Families, moduli of curves (analytic) (14H15)

Cites Work

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• Ample subvarieties and \(q\)-ample divisors
• The second homology group of the mapping class group of an orientable surface
• A generalization of Kodaira-Ramanujam's vanishing theorem
• Submanifolds of Abelian varieties
• Concavity theorems
• On the Xiao conjecture for plane curves
• Line bundles with partially vanishing cohomology
• Massey products and Fujita decompositions on fibrations of curves
• A desingularization problem in the theory of Siegel modular functions
• Compactification of arithmetic quotients of bounded symmetric domains
• Abelian quotients of the Teichmüller modular group
• A Hodge theoretic projective structure on compact Riemann surfaces
• Geometry of Algebraic Curves
• Complex Analytic Connections in Fibre Bundles
• Théorèmes de finitude pour la cohomologie des espaces complexes
• Théorèmes de dépendance algébrique sur les espaces complexes pseudo-concaves
• Noether-Lefschetz theory and the Picard group of projective surfaces
• Covering of elliptic curves and the kernel of the Prym map
• Families of curves with Higgs field of arbitrarily large kernel
• On the rank of the flat unitary summand of the Hodge bundle

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