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arXiv:2404.07803 [math.AG]AbstractReferencesReviewsResources

K-stability and space sextic curves of genus three

Ivan Cheltsov, Oliver Li, Sione Ma'u, Antoine Pinardin

Published 2024-04-11Version 1

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.

Comments: 26 pages
Categories: math.AG
Subjects: 14J45, 14J30, 32Q20
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