| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4586214 | Journal of Algebra | 2011 | 20 Pages |
Abstract
We show boundedness for PT-semistable objects of any Chern classes on a smooth projective three-fold X. Then we show that the stack of objects in the heart 〈Coh⩽1(X),Coh⩾2(X)[1]〉 satisfies a version of the valuative criterion for completeness. In the remainder of the paper, we give a series of results on how to compute cohomology with respect to this heart.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
