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arXiv · 2607.04788

Stability conditions on threefolds

Yiran Cheng·Soheyla Feyzbakhsh
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Abstract

We investigate a subspace of Bridgeland stability conditions on $\PP^n$ satisfying the so-called Li condition. These are the stability conditions whose restriction to a smooth projective subvariety $X \subset \PP^n$ is again a stability condition. We then show that, when $X$ is a threefold, the restricted stability conditions coincide with those obtained via the double-tilt construction introduced by Bayer-Macr\`i-Toda. As an application, we prove the weak BMT conjecture.

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Yiran Cheng, Soheyla Feyzbakhsh. 2026-07-06. Stability conditions on threefolds. https://arxiv.org/abs/2607.04788

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