Weak Stability Conditions as Limits of Bridgeland Stability Conditions
Algebraic Geometry
2024-10-04 v1
Abstract
In this paper, we give a definition of weak stability condition on a triangulated category. The difference between our definition and existing definitions is that we allow objects in the kernel to have non-maximal phases. We then construct four types of weak stability conditions that naturally occur on Weierstrass ellitpic surfaces as limites of Bridgeland stability conditions.
Keywords
Cite
@article{arxiv.2410.02466,
title = {Weak Stability Conditions as Limits of Bridgeland Stability Conditions},
author = {Tristan C. Colllins and Jason Lo and Yun Shi and Shing-Tung Yau},
journal= {arXiv preprint arXiv:2410.02466},
year = {2024}
}
Comments
The preprint arXiv:2306.05620v1 has been divided into two papers; this is Part 1 of arXiv:2306.05620v1