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arXiv · 2504.12253

Stability conditions on K3 surfaces via mass of spherical objects

Kohei Kikuta·Naoki Koseki·Genki Ouchi
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Abstract

We prove that a stability condition on a K3 surface is determined by the masses of spherical objects up to a natural $\mathbb{C}$-action. This is motivated by the result of Huybrechts and the recent proposal of Bapat-Deopurkar-Licata on the construction of a compactification of a stability manifold. We also construct lax stability conditions in the sense of Broomhead-Pauksztello-Ploog-Woolf associated to spherical bundles.

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Kohei Kikuta, Naoki Koseki, Genki Ouchi. 2025-04-16. Stability conditions on K3 surfaces via mass of spherical objects. https://arxiv.org/abs/2504.12253

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