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.

引用

页码：115 / 119

页数：5

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