On surfaces with pg=2q-3

被引：4

作者：

Lopes, Margarida Mendes ^{[1
]}

Pardini, Rita ^{[2
]}

机构：

[1] Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

[2] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

ADVANCES IN GEOMETRY | 2010年 / 10卷 / 03期

关键词：

GENERAL TYPE; IRREGULAR SURFACES;

D O I：

10.1515/ADVGEOM.2010.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study minimal complex surfaces S of general type with q (S) = q and p(g) (S) = 2q - 3, q >= 5. We give a complete classification in case that S has a fibration onto a curve of genus >= 2. For these surfaces K-2 = 8 chi. In general we prove that K-2 >= 7 chi - 1 and that the stronger inequality K-2 >= 8 chi holds under extra assumptions (e.g., if the canonical system has no fixed part or the canonical map has even degree). We also describe the Albanese map of S

引用

页码：549 / 555

页数：7

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