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

来源：

ADVANCES IN GEOMETRY | 2002年 / 2卷 / 03期

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.

引用

页码：281 / 300

页数：20

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