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arXiv · 2404.07803

K-stability and space sextic curves of genus three

Ivan Cheltsov·Oliver Li·Sione Ma'u·Antoine Pinardin
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Abstract

We study Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth curve of degree six and genus three. We produce many new K-stable examples of such threefolds, and we describe all finite groups that can act faithfully on them.

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Ivan Cheltsov, Oliver Li, Sione Ma'u, Antoine Pinardin. 2024-04-11. K-stability and space sextic curves of genus three. https://arxiv.org/abs/2404.07803

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