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On surfaces with pg=q=2 and non-birational bicanonical maps
被引：23
|作者：
Ciliberto, C
Lopes, MM
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal
关键词：
D O I：
10.1515/advg.2002.014
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
The present paper is devoted to the classification of irregular surfaces of general type with p(g) = q = 2 and non-birational bicanonical map. The main result is that, if S is such a surface and if S is minimal with no pencil of curves of genus 2, then S is a double cover of a principally polarized abelian surface (A, Theta), with Theta irreducible. The double cover S --> A is branched along a divisor B is an element of \2Theta\, having at most double points and so K-S(2) = 4.
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页码：281 / 300
页数：20
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