Classical vector bundles and representations of quivers

被引：0

作者：

Dowbor, P ^{[1
]}

Meltzer, H

机构：

[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

[2] Szczecin Univ, Inst Math, PL-70451 Szczecin, Poland

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2005年 / 11卷 / 02期

关键词：

vector bundle; module; derived category; exterior algebra; Horrocks-Mumford bundle; null-correlation bundle; Tango bundle;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the Horrocks-Mumford bundle, null-correlation bundles and Tango bundles in terms of graded modules over the exterior algebra via the Bern stein-Gelfand-Gelfand correspondence. Furthermore we show that properties such as indecomposability and stability of these bundles can be proven purely algebraically.

引用

页码：205 / 220

页数：16

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