Moduli spaces of PT-stable objects

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Abstract/Contents

Abstract
We develop techniques for performing semistable reduction on a flat family of objects in the heart of a t-structure on the bounded derived category of coherent sheaves of a smooth projective three-fold. Then we show that, with respect to Bayer's PT-stability function, the semistable objects in the heart of perverse sheaves form a proper Artin stack of finite type, provided the rank is nonzero, and the rank and degree are coprime.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2010
Issuance monographic
Language English

Creators/Contributors

Associated with Lo, Chieh-Cheng
Associated with Stanford University, Department of Mathematics
Primary advisor Li, Jun, (Mathematician)
Thesis advisor Li, Jun, (Mathematician)
Thesis advisor Conrad, Brian, 1970-
Thesis advisor Vakil, Ravi
Advisor Conrad, Brian, 1970-
Advisor Vakil, Ravi

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Jason Lo.
Note Submitted to the Department of Mathematics.
Thesis Thesis (Ph. D.)--Stanford University, 2010.
Location electronic resource

Access conditions

Copyright
© 2010 by Chieh-Cheng Lo
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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