The moduli component of the space of semistable rank-2 sheaves on ℙ3 with singularities of mixed dimension
- 作者: Ivanov A.N.1, Tikhomirov A.S.1
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隶属关系:
- Higher School of Economics (National Research University)
- 期: 卷 96, 编号 2 (2017)
- 页面: 506-509
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225404
- DOI: https://doi.org/10.1134/S1064562417050325
- ID: 225404
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详细
A new irreducible component of the Gieseker–Maruyama moduli scheme M(3) of semistable coherent sheaves of rank 2 with Chern classes c1 = 0, c2 = 3, and c3 = 0 on P3 such that its general point corresponds to a sheaf whose singular locus contains components of dimensions 0 and 1 is described. These sheaves are obtained by elementary transformations of stable reflexive sheaves of rank 2 with Chern classes c1 = 0, c2 = 2, and c3 = 2 along the projective line. The constructed family of sheaves is the first example of an irreducible component of a Gieseker–Maruyama scheme whose general point corresponds to a sheaf with singularities of mixed dimension.
作者简介
A. Ivanov
Higher School of Economics (National Research University)
编辑信件的主要联系方式.
Email: anivanov_1@edu.hse.ru
俄罗斯联邦, Moscow, 101000
A. Tikhomirov
Higher School of Economics (National Research University)
Email: anivanov_1@edu.hse.ru
俄罗斯联邦, Moscow, 101000
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