Work

Stability of the Cotangent Bundle on Surfaces with Ample Canonical Class

Year: 2026
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W7220703297
Cites: 10
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Related to: 10