Arithmetically Cohen-Macaulay bundles and sets of points on general surfaces

被引:0
作者
Chiantini, Luca [1 ]
Miro-Roig, Rosa M. [2 ]
机构
[1] Univ Siena, Dipartimento Ingn Informaz & Sci Matemat, Via Roma 56, I-53100 Siena, Italy
[2] Fac Matemat, Dept Algebra & Geometria, Gran Via Corts Catalanes 585, Barcelona 08007, Spain
关键词
ACM bundles; GORENSTEIN ALGEBRAS; P-3; CODIMENSION; DIMENSION; RANK-2;
D O I
10.1016/j.jalgebra.2015.12.005
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The first Chern class of an initialized rank 2 bundle determines its level of stability. We determine bounds for numbers c(1) > 0 such that, on a general surface X subset of P-3 of degree d >= .4, there exists a rank 2 indecomposable (stable) aCM bundle E on X, with first Chern class c(1)(E) = c(1). (C) 2015 Elsevier Inc. All rights reserved.
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页码:268 / 292
页数:25
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