April 11, 2024Open Access

K-stability and space sextic curves of genus three

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Resumen

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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Cheltsov et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6f968b6db643587673aee https://doi.org/https://doi.org/10.48550/arxiv.2404.07803

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1K-moduli of Fano threefolds and genus four curves2024
2On K-stability of $$\mathbb {P}^3$$ blown up along a quintic elliptic curve2024 · 1 citations
3K‐stable Fano threefolds of rank 2 and degree 282025
4K-stability of Fano threefolds of rank 3 and degree 142024
5K-stability of Fano 3-folds of Picard rank 3 and degree 202024

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