pith. sign in

arxiv: 1011.6306 · v2 · pith:J6ZLAEIFnew · submitted 2010-11-29 · 🧮 math.AG · math-ph· math.MP

Moduli of PT-semistable objects II

classification 🧮 math.AG math-phmath.MP
keywords moduliobjectsconstructfinitept-semistablesemistablesheavestype
0
0 comments X
read the original abstract

We generalise the techniques of semistable reduction for flat families of sheaves to the setting of the derived category $D^b(X)$ of coherent sheaves on a smooth projective three-fold $X$. Then we construct the moduli of PT-semistable objects in $D^b(X)$ 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.