Ulrich bundles on cubic fourfolds

IF 1.1 3区数学 Q1 MATHEMATICS

Commentarii Mathematici Helvetici Pub Date : 2020-11-25 DOI:10.4171/cmh/546

Daniele Faenzi, Yeongrak Kim

引用次数: 2

Abstract

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.

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立方四重上的Ulrich丛

我们证明了光滑三次四重上秩为6的Ulrich丛的存在性。首先，我们构造了一个秩为6的简单簇E，作为光滑三次四重上秩为6个ACM丛的初等修改。这样一个E似乎是两个Lehn-Lehn-Sorger-van Straten滑轮的延伸。然后我们证明了E（1）的一个一般变形变为Ulrich。特别地，这说明一般的三次四重具有Ulrich复杂度6。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Commentarii Mathematici Helvetici 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Commentarii Mathematici Helvetici (CMH) was established on the occasion of a meeting of the Swiss Mathematical Society in May 1928. The first volume was published in 1929. The journal soon gained international reputation and is one of the world''s leading mathematical periodicals. Commentarii Mathematici Helvetici is covered in: Mathematical Reviews (MR), Current Mathematical Publications (CMP), MathSciNet, Zentralblatt für Mathematik, Zentralblatt MATH Database, Science Citation Index (SCI), Science Citation Index Expanded (SCIE), CompuMath Citation Index (CMCI), Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), ISI Alerting Services, Journal Citation Reports/Science Edition, Web of Science.