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Even canonical surfaces with small K2, III

Published online by Cambridge University Press:  22 January 2016

Kazuhiro Konno
Kazuhiro Konno*
Affiliation:
Department of Mathematics, Graduate School of Science, Osaka University, 1-16 Machikaneyama, Toyonaka, Osaka 560, Japan, e-mail address: [email protected]
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This is a continuation of [5]. In the present part, we study irregular even surfaces of general type with K < 4χ, where K and χ denote respectively a canonical divisor and the holomorphic Euler-Poincaré characteristic. As the first main theorem, we show the following:

THEOREM 1. For any irregular even surface of general type with K < 4χ, the image of the Albanese map is a curve.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 143 , September 1996 , pp. 1 - 11
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

References

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