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arXiv · 2404.05232

Invariant stability conditions on local $\mathbb{P}^1\times \mathbb{P}^1$ (after Del Monte-Longhi)

Yirui Xiong
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Abstract

Let $X$ be the total space of canonical bundle of $\pp$, we study an invariant subspace of stability conditions on $X$ under an autoequivalence of $D^b(X)$. We describe the complete set of stable objects with respect to the invariant stability conditions and characterize the space of invariant stability conditions.

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Yirui Xiong. 2024-04-08. Invariant stability conditions on local $\mathbb{P}^1\times \mathbb{P}^1$ (after Del Monte-Longhi). https://arxiv.org/abs/2404.05232

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