非ulrich表示类型

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2019-07-04 DOI:10.14231/AG-2021-012

Daniele Faenzi, F. Malaspina, Giangiacomo Sanna

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引用次数: 4

摘要

我们通过移除Ulrich丛，证明了P^N无限Cohen—Macaulay型的光滑投影非退化算术Cohen—麦考利子变种X变为有限Cohen—Macaulay型，当且仅当N=5且X是四次涡旋或线与平面的Segre积。反过来，我们给出了ACM束在这些变种上的完整而明确的分类。

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Non-Ulrich representation type

We show that a smooth projective non-degenerate arithmetically Cohen-Macaulay subvariety X of P^N infinite Cohen-Macaulay type becomes of finite Cohen-Macaulay type by removing Ulrich bundles if and only if N = 5 and X is a quartic scroll or the Segre product of a line and a plane. In turn, we give a complete and explicit classification of ACM bundles over these varieties.

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.