April 11, 2024Open Access

K-stability and space sextic curves of genus three

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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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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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5K-stability of Fano 3-folds of Picard rank 3 and degree 202024

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