%0 Journal Article
%T Representing stable complexes on projective spaces
%A Jason Lo
%A Ziyu Zhang
%J Mathematics
%D 2012
%I arXiv
%X We give an explicit proof of a Bogomolov-type inequality for $c_3$ of reflexive sheaves on $\mathbb{P}^3$. Then, using resolutions of rank-two reflexive sheaves on $\mathbb{P}^3$, we prove that some strata of the moduli of rank-two complexes that are both PT-stable and dual-PT-stable are quotient stacks. Using monads, we apply the same techniques to $\mathbb{P}^2$ and show that some strata of the moduli of Bridgeland-stable complexes are quotient stacks.
%U http://arxiv.org/abs/1202.4948v2