Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Stratifications of parameter spaces for complexes by cohomology types
Victoria Hoskins
Author information
JOURNAL FREE ACCESS

2015 Volume 67 Issue 1 Pages 43-68

Details
Abstract
We study a collection of stability conditions (in the sense of Schmitt) for complexes of sheaves over a smooth complex projective variety indexed by a positive rational parameter. We show that the Harder-Narasimhan filtration of a complex for small values of this parameter encodes the Harder-Narasimhan filtrations of the cohomology sheaves of this complex. Finally we relate a stratification into locally closed subschemes of a parameter space for complexes associated to these stability parameters with the stratification by Harder-Narasimhan types.
Content from these authors

This article cannot obtain the latest cited-by information.

© 2015 The Mathematical Society of Japan
Previous article Next article
feedback
Top