On the Zero Set of a Holomorphic One-Form on a Compact Complex Manifold

DOI10.2307/2000966zbMath0658.32024OpenAlexW4242951809MaRDI QIDQ3807545

Michael J. Spurr

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000966

zbMATH Keywords

elliptic surfacefibrationnormalisationKählerChern numbersprincipal torus bundleAlbaneseholomorphic 1-formself-intersection of a divisorStein factorisation

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Compact complex surfaces (32J15) Special surfaces (14J25) Holomorphic fiber spaces (32L99) (n)-folds ((n>4)) (14J40)

Related Items (2)

Generic vanishing, 1-forms, and topology of Albanese maps ⋮ The cotangent map of surfaces of general type

Cites Work

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• On the moduli spaces of surfaces of general type. Appendix: Letter of E. Bombieri written to the author
• On the density of ratios of Chern classes of algebraic surfaces
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Über Modifikationen und exzeptionelle analytische Mengen
• Holomorphic vector fields and Kaehler manifolds
• On the Structure of Compact Complex Analytic Surfaces, I

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