Rank two aCM bundles on the del Pezzo fourfold of degree 6 and its general hyperplane section

被引：12

作者：

Casnati, Gianfranco ^{[1
]}

Faenzi, Daniele ^{[2
]}

Malaspina, Francesco ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Sci Matemat, Cso Duca Abruzzi 24, I-10129 Turin, Italy

[2] Univ Bourgogne Franche Comte, UMR CNRS 5584, Inst Mathemat Bourgogne, 9 Ave Alain Savary,BP 47870, F-21078 Dijon, France

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2018年 / 222卷 / 03期

关键词：

COHEN-MACAULAY MODULES; VECTOR-BUNDLES; INTERMEDIATE COHOMOLOGY; REPRESENTATION TYPE; THREEFOLD; CLASSIFICATION; VARIETIES; SURFACES; GENUS; RINGS;

D O I：

10.1016/j.jpaa.2017.04.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we completely classify locally free sheaves of rank 2 with vanishing intermediate cohomology modules on the image of the Segre embedding P-2 x P-2 subset of P-8 and its general hyperplane sections. Such a classification extends similar already known results regarding del Pezzo varieties with Picard numbers 1 and 3 and dimension at least 3. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：585 / 609

页数：25

共 33 条

[1]

[Anonymous], 1999, Encyclopaedia of Mathematical Sciences

[2] Vector bundles on G(1,4) without intermediate cohomology [J].

Arrondo, E ;

Otero, BG .

JOURNAL OF ALGEBRA, 1999, 214 (01) :128-142

[3] Vector bundles on fano 3-folds without intermediate cohomology [J].

Arrondo, E ;

Costa, L .

COMMUNICATIONS IN ALGEBRA, 2000, 28 (08) :3899-3911

[4]

Arrondo E, 2007, REV MAT COMPLUT, V20, P423

[5] Vector bundles with no intermediate cohomology on Fano threefolds of type V22 [J].

Arrondo, Enrique ;

Faenzi, Daniele .

PACIFIC JOURNAL OF MATHEMATICS, 2006, 225 (02) :201-220

[6]

AUSLANDER M, 1987, LECT NOTES MATH, V1273, P232

[7] RIBBONS AND THEIR CANONICAL EMBEDDINGS [J].

BAYER, D ;

EISENBUD, D .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (03) :719-756

[8] Moduli Spaces of Rank-2 ACM Bundles on Prime Fano Threefolds [J].

Brambilla, Maria Chiara ;

Faenzi, Daniele .

MICHIGAN MATHEMATICAL JOURNAL, 2011, 60 (01) :113-148

[9] STABLE ULRICH BUNDLES [J].

Casanellas, Marta ;

Hartshorne, Robin ;

Geiss, Florian ;

Schreyer, Frank-Olaf .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (08)

[10] ACM bundles on cubic surfaces [J].

Casanellas, Marta ;

Hartshorne, Robin .

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2011, 13 (03) :709-731

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