Some remarks on the filling in problem for degenerations

DOI10.1215/S0012-7094-85-05230-5zbMath0583.32022MaRDI QIDQ1070067

Robert M. Friedman

Publication date: 1985

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Kähler manifoldirreducible curvedegenerationscomplex manifoldbirational mapbimeromorphic mapfilling in problem

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Analytic continuation (32D99) Holomorphic mappings and correspondences (32H99) Complex manifolds (32Q99)

Related Items

Long-time tails of the velocity autocorrelation functions for the triangular periodic Lorentz gas

Cites Work

• Unnamed Item
• Unnamed Item
• A criterion for flatness of Hodge bundles over curves and geometric applications
• Smoothing cusp singularities of small length
• Closedness of the Douady spaces of compact Kähler spaces
• Rational surfaces with an anti-canonical cycle
• Conditions for the analyticity of certain sets
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
• Intrinsic distances, measures and geometric function theory
• On degenerations of algebraic surfaces
• Two Fundamental Theorems on Deformations of Polarized Varieties
• Picard-Lefschetz Theorem for Families of Nonsingular Algebraic Varieties Acquiring Ordinary Singularities
• Polarized Varieties with a Given Hilbert Polynomial