1202.4948 (Jason Lo et al.)

Representing stable complexes on projective spaces    [PDF]

Jason Lo, Ziyu Zhang

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.

View original: http://arxiv.org/abs/1202.4948