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.
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页数：16
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