The behaviour of the plurigenera of surfaces under algebraic smooth deformations

DOI10.1007/BF01579215zbMath0371.14017OpenAlexW2069161609MaRDI QIDQ1243329

P. M. H. Wilson

Publication date: 1978

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142580

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Moduli, classification: analytic theory; relations with modular forms (14J15) Formal methods and deformations in algebraic geometry (14D15)

Related Items (3)

Unnamed Item ⋮ The deformation behaviour of the Kodaira dimension of algebraic manifolds. (With an appendix by K. Ueno) ⋮ The arithmetic plurigenera of surfaces

Cites Work

• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Deformations of compact complex surfaces. II
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Introduction to Grothendieck duality theory
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• On degenerations of algebraic surfaces
• On blowing up conductor ideals
• On Stability of Compact Submanifolds of Complex Manifolds
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