Ulrich Bundles on Intersections of Two 4-Dimensional Quadrics

被引：6

作者：

Cho, Yonghwa ^{[1
]}

Kim, Yeongrak ^{[2
]}

Lee, Kyoung-Seog ^{[3
]}

机构：

[1] Korea Inst Adv Study, 85 Hoegiro Dongdaemun Gu, Seoul 02455, South Korea

[2] Saarland Univ, Dept Math, Campus E2 4, D-66123 Saarbrucken, Germany

[3] Inst Basic Sci IBS, Ctr Geometry & Phys, Pohang 37673, South Korea

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 22期

关键词：

COHEN-MACAULAY MODULES; VECTOR-BUNDLES; DUALITY;

D O I：

10.1093/imrn/rnz320

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the moduli space of Ulrich bundles on a smooth complete intersection of two 4-dimensional quadrics in P-5. The main ingredient is the semiorthogonal decomposition by Bondal-Orlov, combined with the categorical methods pioneered by Kuznetsov and Lahoz-Macri-Stellari. Using these methods, we prove that any smooth intersection of two 4-dimensional quadrics in P-5 carries an Ulrich bundle of rank r for every r >= 2. Moreover, we provide a description of the moduli space of stable Ulrich bundles.

引用

页码：17277 / 17303

页数：27

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