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Kulikov surfaces form a connected component of the moduli space

Published online by Cambridge University Press:  11 January 2016

Tsz On Mario Chan  and
Stephen Coughlan
Tsz On Mario Chan
Affiliation:
Lehrstuhl Mathematik VIII, Mathematisches Institut der Universität Bayreuth, 95447 Bayreuth, Germany, [email protected]
Stephen Coughlan
Affiliation:
Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003, USA, [email protected]
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Abstract

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We show that the Kulikov surfaces form a connected component of the moduli space of surfaces of general type with pg = 0 and K2 = 6. We also give a new description for these surfaces, extending ideas of Inoue. Finally, we calculate the bicanonical degree of Kulikov surfaces and prove that they verify the Bloch conjecture.

Keywords

14J2914J1014J25
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 210 , June 2013 , pp. 1 - 27
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2013

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