Moduli of Rank 3 Semistable Sheaves on the Projective Space P3 with Singularities of Mixed Dimension

被引：0
|
作者：
Lanskikh, I. Yu. [1 ]
Tikhomirov, A. S. [1 ]
机构：
[1] Natl Res Univ, Higher Sch Econ, Moscow, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2025年 / 66卷 / 01期
关键词：
semistable coherent sheaves; rank; 3; sheaves; moduli space of semistable sheaves; 512.7;
D O I：
10.1134/S0037446625010082
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Studying the Gieseker-Maruyama moduli space of normalized semistable coherent rank 3 sheaves of positive second Chern class and nonnegative third Chern class on the projective space P3, we find the first example of an irreducible component of this moduli space with small values of Chern classes in which the generic sheaf has singularities of mixed dimension: zero- and one-dimensional singularities simultaneously. Previously, some examples of components of moduli of semistable sheaves with singularities of mixed dimension were constructed only for rank 2 sheaves by Ivanov and Tikhomirov in 2018 as well as by Almeida, Jardim, and Tikhomirov in 2022.
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收藏
页码：64 / 77
页数：14
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