REGULAR DEL PEZZO SURFACES WITH IRREGULARITY

被引：19
|
作者：
Maddock, Zachary
机构：
来源：
JOURNAL OF ALGEBRAIC GEOMETRY | 2016年 / 25卷 / 03期
关键词：
SINGULARITIES;
D O I：
10.1090/jag/650
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct the first examples of regular del Pezzo surfaces X for which h(1)(O-X) > 0. We also find a restriction on the integer pairs that are possible as the anti-canonical degree K-X(2) and irregularity h(1)(O-X) of such a surface. Our method of proof is by generalizing results of Ekedahl on foliations to the setting of regular varieties.
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页码：401 / 429
页数：29
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