Compact Kähler surfaces with trivial canonical bundle
Date
2003
Authors
Buchdahl, N.
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Journal article
Citation
Annals of Global Analysis and Geometry, 2003; 23(2):189-204
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Nicholas Buchdahl
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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.
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The original publication can be found at www.springerlink.com
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© 2003 Kluwer Academic Publishers