Ulrich bundles on cubic fourfolds

被引：4
|
作者：
Faenzi, Daniele [1 ]
Kim, Yeongrak [2 ]
机构：
[1] Univ Bourgogne & Franche Comte, UMR 5584, CNRS, Inst Math Bourgogne, 9 Ave Alain Savary,BP 47870, F-21078 Dijon, France
[2] Pusan Natl Univ, Dept Math, 2 Busandaehak Ro 63beon Gil, Busan 46241, South Korea
来源：
COMMENTARII MATHEMATICI HELVETICI | 2022年 / 97卷 / 04期
关键词：
Ulrich bundles; cubic fourfolds; Kuznetsov category; MODULI SPACE; ACM BUNDLES;
D O I：
10.4171/CMH/546
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show the existence of rank 6 Ulrich bundles on a smooth cubic fourfold. First, we construct a simple sheaf E of rank 6 as an elementary modification of an ACM bundle of rank 6 on a smooth cubic fourfold. Such an E appears as an extension of two Lehn-Lehn-Sorger-van Straten sheaves. Then we prove that a general deformation of E(1) becomes Ulrich. In particular, this says that general cubic fourfolds have Ulrich complexity 6.
引用
收藏
页码：691 / 728
页数：38
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