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Families of K-3 Surfaces

Published online by Cambridge University Press:  22 January 2016

Alan L. Mayer
Alan L. Mayer*
Affiliation:
Brandeis University
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Let V be a 2-dimensional compact complex manifold. V is called a K-3 surface if : a) the irregularity q = dim H1(V, θ) of V vanishes and b) the first Chern class c1 of V vanishes. The canonical sheaf (of holo-morphic 2-forms) K of such a surface is trivial, since q = 0 implies that the Chern class map cx : Pic (V) → H2(V, Z) is injective : thus V has a nowhere zero holomorphic 2-form.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 48 , December 1972 , pp. 1 - 17
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

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