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arXiv · 2610.04244

Stability of the Cotangent Bundle on Surfaces with Ample Canonical Class

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

In this article, we study the Bridgeland stability of the cotangent bundle on K3 surfaces and surfaces with ample canonical class. On a surface $X$ with ample canonical class $K$, we find values $t_0>0$ such that the cotangent bundle is semistable with respect to the Bridgeland stability $σ_{tK}$ for all $t > t_0$. We also study special cases such as the fake projective planes and the fake quadrics.

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Tristan C. Collins, Jason Lo, Yun Shi, Shing-Tung Yau. 2026-10-03. Stability of the Cotangent Bundle on Surfaces with Ample Canonical Class. https://arxiv.org/abs/2610.04244

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