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Type II degenerations of K3 surfaces

Published online by Cambridge University Press:  22 January 2016

Shigeyuki Kondo
Shigeyuki Kondo*
Affiliation:
Department of Mathematics, Faculty of Sciences, Nagoya University, Nagoya, 465, Japan
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A degeneration of K3 surfaces (over the complex number field) is a proper holomorphic map π: X→Δ from a three dimensional complex manifold to a disc, such that, for t ≠ 0, the fibres Xt = π-1(t) are smooth K3 surfaces (i.e. surfaces Xt with trivial canonical class KXt = 0 and dim H1(Xt, Oxt) = 0).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 99 , September 1985 , pp. 11 - 30
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1985

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