Sheaves of low rank in three-dimensional projective space

被引：0

作者：

Schmidt, Benjamin ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Algebra Geometrie, Welfengarten 1, D-30167 Hannover, Germany

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 9卷 / 04期

关键词：

Derived categories; Moduli spaces of sheaves; Threefolds; Stability conditions; BRIDGELAND STABILITY CONDITIONS; VECTOR-BUNDLES; MODULI; REPRESENTATIONS; THREEFOLDS; COMPLEXES;

D O I：

10.1007/s40879-023-00700-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify Chern characters of semistable sheaves up to rank four in three-dimensional projective space. As a corollary we show that moduli spaces of semistable sheaves between rank zero and four with maximal third Chern character are smooth and irreducible.

引用

页数：71

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