Semistable rank 2 sheaves with singularities of mixed dimension on P3

JOURNAL OF GEOMETRY AND PHYSICS

卷:129

Article

Ivanov, Aleksei N.¹  Tikhomirov, Alexander S.¹ 

[1] Natl Res Univ, Higher Sch Econ, Fac Math, 6 Usacheva St, Moscow 119048, Russia

关键词: Rank 2 stable sheaves;    Reflexive sheaves;    Moduli space;   

DOI  :  10.1016/j.geomphys.2018.02.018

来源: Elsevier

【 摘 要 】

We describe new irreducible components of the Gieseker-Maruyama moduli scheme M(3) of semistable rank 2 coherent sheaves with Chern classes c(1) = 0, c(2) = 3, C-3 = 0 on P-3, general points of which correspond to sheaves whose singular loci contain components of dimensions both 0 and 1. These sheaves are produced by elementary transformations of stable reflexive rank 2 sheaves with C-1 = 0, C-2 = 2 along a disjoint union of a projective line and a collection of points in P-3. The constructed families of sheaves provide first examples of irreducible components of the Gieseker-Maruyama moduli scheme such that their general sheaves have singularities of mixed dimension. (c) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free