Moduli of PT-semistable objects II
Abstract
We generalise the techniques of semistable reduction for flat families of sheaves to the setting of the derived category of coherent sheaves on a smooth projective three-fold . Then we construct the moduli of PT-semistable objects in as an Artin stack of finite type that is universally closed. In the absence of strictly semistable objects, we construct the moduli as a proper algebraic space of finite type.
Cite
@article{arxiv.1011.6306,
title = {Moduli of PT-semistable objects II},
author = {Jason Lo},
journal= {arXiv preprint arXiv:1011.6306},
year = {2011}
}
Comments
34 pages. Exposition improved based on referee's comments, especially the proofs of Prop 2.6 and 2.17 (of this version). References added; typos corrected. Openness and separatedness now in a separate section. Sections 4 and 5 of previous version removed. Accepted for publication by the Transactions of the American Mathematical Society. This is the sequel to http://arxiv.org/abs/1011.5688