n-Dimensional Fano varieties of wild representation type

被引：22

作者：

Miro-Roig, Rosa M. ^{[1
]}

Pons-Llopis, Joan ^{[2
]}

机构：

[1] Fac Matemat, Dept Algebra & Geometria, Barcelona 08007, Spain

[2] Univ Pau & Pays Adour, F-64012 Pau, France

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2014年 / 218卷 / 10期

关键词：

MINIMAL RESOLUTION CONJECTURE; COHEN-MACAULAY MODULES; STABLE BUNDLES; POINTS; CLASSIFICATION; SYSTEMS; RINGS;

D O I：

10.1016/j.jpaa.2014.02.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to contribute to the classification of projective varieties according to their representation type, providing examples of n-dimensional varieties of wild representation type, for arbitrary n >= 2. More precisely, we prove that all Fano blow-ups of P-n at a finite number of points are of wild representation type exhibiting families of dimension of order r(2) of simple (hence, indecomposable) ACM rank r vector bundles for any r >= n. In the two dimensional case, the vector bundles that we construct are moreover Ulrich bundles and mu-stable with respect to certain ample divisor. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：1867 / 1884

页数：18

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