April 8, 2024Open Access

Invariant stability conditions on local P¹ P¹ (after Del Monte-Longhi)

YXYirui XiongSouthwest Petroleum University

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Abstract

Let X be the total space of canonical bundle of, we study an invariant subspace of stability conditions on X under an autoequivalence of Dᵇ (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 (Mon,) studied this question.

synapsesocial.com/papers/68e700efb6db64358767b208 https://doi.org/https://doi.org/10.48550/arxiv.2404.05232

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