Algebraic deformations of compact Kähler surfaces
type: Item
instance of: scholarly article
title: Algebraic deformations of compact Kähler surfaces
zbMATH Open document ID: 1118.32016
published in: Mathematische Zeitschrift
publication date: 2006-11-09T00:00:00Z
review text: The author proves a weakened version of \textit{K. Kodaira}'s result [Ann. Math. (2) 78, 1--40 (1963; Zbl 0171.19601)] namely: Theorem. A non-algebraic compact Kähler surface \(X\) with \(H^2(X,\Theta_X)= 0\) has arbitrarily small deformations which are algebraic. The proof makes no essentially no reference to the classification of surfaces.
reviewed by: Viorel Vâjâitu
Mathematics Subject Classification ID: 32J15
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 14J10
zbMATH DE Number: 5071438
zbMATH Keywords: compact Kähler surface
zbMATH Keywords: algebraic surface
zbMATH Keywords: deformation
author: Nicholas P. Buchdahl
MaRDI profile type: Publication
full work available at URL: s00209-005-0910-x
OpenAlex ID: W4234701574
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DOI: 10.1007/S00209-005-0910-X
description: scientific article; zbMATH DE number 5071438