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arXiv · 2410.02466

Weak Stability Conditions as Limits of Bridgeland Stability Conditions

Tristan C. Colllins·Jason Lo·Yun Shi·Shing-Tung Yau
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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.

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Tristan C. Colllins, Jason Lo, Yun Shi, Shing-Tung Yau. 2024-10-03. Weak Stability Conditions as Limits of Bridgeland Stability Conditions. https://arxiv.org/abs/2410.02466

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