Rank 2 arithmetically Cohen-Macaulay bundles on a nonsingular cubic surface

被引：35

作者：

Faenzi, Daniele ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

JOURNAL OF ALGEBRA | 2008年 / 319卷 / 01期

关键词：

arithmetically Cohen-Macaulay bundles; intermediate cohomology; cubic surfaces; moduli spaces of bundles; matrix factorization; maximal Cohen-Macaulay modules; determinantal; or Pfaffian hypersurfaces;

D O I：

10.1016/j.jalgebra.2007.10.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Rank 2 indecomposable arithmetically Cohen-Macaulay bundles E on a nonsingular cubic surface X in P-3 are classified, by means of the possible forms taken by the minimal graded free resolution of E over P-3. The admissible values of the Chem classes of E are listed and the vanishing locus of a general section of E is studied. Properties of E such as slope (semi)stability and simplicity are investigated; the number of relevant families is computed together with their dimension. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：143 / 186

页数：44

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