Fano varieties with conjecturally largest Fano index

被引：0

作者：

Wang, Chengxi ^{[1
]}

机构：

[1] UCLA, Dept Math, Box 951555, Los Angeles, CA 90095 USA

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2024年

关键词：

Fano varieties; Fano index; weighted projective space; canonical singularities; terminal singularities; THREEFOLDS; SURFACES;

D O I：

10.1142/S0129167X24500484

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For Fano varieties of various singularities such as canonical and terminal, we construct examples with large Fano index growing doubly exponentially with dimension. By low-dimensional evidence, we conjecture that our examples have the largest Fano index for all dimensions.

引用

页数：16

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