A regularity theorem for deformations of a compact complex surface

DOI10.1007/BF02921773zbMath0847.32019OpenAlexW2091716180MaRDI QIDQ1917961

Adam Harris

Publication date: 20 October 1996

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921773

zbMATH Keywords

Hopf surfacecoherent sheafdirect imageHirzebruch surfaceholomorphic familyanalytic subvarietyblowing down

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Compact complex surfaces (32J15) Deformations of complex structures (32G05) Families, moduli of curves (analytic) (14H15)

Related Items

A removable singularities theorem for families of ruled surfaces ⋮ SINGULAR LOCI IN HOLOMORPHIC FAMILIES

Cites Work

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• On deformations of complex analytic structures. I
• Gap-sheaves and extension of coherent analytic subsheaves
• Riemannsche Hebbarkeitssätze für Cohomologieklassen
• Nondeformability of the complex projective space.
• Versal deformation of Hopf surfaces.
• On Stability of Compact Submanifolds of Complex Manifolds