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arXiv · 1912.08184

On Fano threefolds with $\mathbb{C}^*$-action

Christoff Hische·Milena Wrobel
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Abstract

We study three-dimensional Fano varieties with $\mathbb{C}^*$-action. Complementing recent results [13], we give classification results in the canonical case, where the maximal orbit quotient is $\mathbb{P}_2$ having a line arrangement of five lines in special position as its critical values.

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Christoff Hische, Milena Wrobel. 2019-12-17. On Fano threefolds with $\mathbb{C}^*$-action. https://arxiv.org/abs/1912.08184

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