Anticanonical system of Fano fivefolds

被引：5
|
作者：
Horing, Andreas [1 ]
Smiech, Robert [2 ]
机构：
[1] Univ Cote Azur, CNRS, LJAD, Nice, France
[2] Univ Warsaw, Fac Math Informat & Mech, Ul Banacha 2, PL-02097 Warsaw, Poland
来源：
MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 01期
关键词：
anticanonical system; Fano varieties; fivefolds; linear system; nonvanishing;
D O I：
10.1002/mana.201900311
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that any Fano fivefold with canonical Gorenstein singularities has an effective anticanonical divisor. Moreover, if a general element of the anticanonical system is reduced, then it has canonical singularities.
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页码：115 / 119
页数：5
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