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Type: Journal article
Title: Compact Kähler surfaces with trivial canonical bundle
Other Titles: Compact Kahler surfaces with trivial canonical bundle
Author: Buchdahl, N.
Citation: Annals of Global Analysis and Geometry, 2003; 23(2):189-204
Publisher: Kluwer Academic Publ
Issue Date: 2003
ISSN: 0232-704X
Statement of
Nicholas Buchdahl
Abstract: The classical conjectures of Weil on K3 surfaces – that the set of such surfaces is connected; that a version of the Torelli theorem holds; that each such surface is Kähler; and that the period map is surjective – are reconsidered in the light of a generalisation of the Nakai-Moishezon criterion, and short proofs of all the conjectures are given. Most of the proofs apply equally or with minor variation to complex 2-tori, the only other compact Kähler surfaces with trivial canonical bundle.
Keywords: Kähler surface
K3 surface
complex 2-torus
period map
Torelli theorem
Description: The original publication can be found at
Rights: © 2003 Kluwer Academic Publishers
DOI: 10.1023/A:1022557004624
Published version:
Appears in Collections:Aurora harvest
Pure Mathematics publications

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