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arXiv · 2608.27001

Generalised Cone Conjecture, II: Generic Sakai surfaces

Vladimir Lazić·Isabel Stenger·Zhixin Xie
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Abstract

In this paper we prove that the Generalised Cone Conjecture holds for generic Sakai surfaces, which completes the proof of the Generalised Cone Conjecture in dimension two. Furthermore, we show that there exists a non-generic Sakai surface for which no meaningful variant of the conjecture holds.

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Vladimir Lazić, Isabel Stenger, Zhixin Xie. 2026-08-27. Generalised Cone Conjecture, II: Generic Sakai surfaces. https://arxiv.org/abs/2608.27001

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