Representing stable complexes on projective spaces

JOURNAL OF ALGEBRA

卷:400

Article

Lo, Jason¹  Zhang, Ziyu² 

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] Max Planck Inst Math, D-53111 Bonn, Germany

关键词: Reflexive sheaves;    Polynomial stability;    Quotient stacks;    Bridgcland stability;    Monads;   

DOI  :  10.1016/j.jalgebra.2013.11.013

来源: Elsevier

【 摘 要 】

We give an explicit proof of a Bogomolov-type inequality for c(3) of reflexive sheaves on P-3. Then, using resolutions of rank-two reflexive sheaves on P-3, we prove that the closed points of some strata of the moduli of rank-two complexes that are both PT-stable and dual-PT-stable can be given by the structure of quotient stacks. Using monads, we apply the same techniques to P-2 and obtain similar results for some strata of the moduli of Bridgeland-stable complexes. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free