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arXiv · 2502.21155

The generalised Mukai conjecture for spherical varieties

Giuliano Gagliardi·Johannes Hofscheier·Heath Pearson
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Abstract

We prove the generalised Mukai conjecture for $\mathbb{Q}$-factorial spherical Fano varieties. In this case, a stronger inequality holds featuring an extra term - the minimum absolute complexity of a log Calabi-Yau pair - which measures how close the Fano variety is to being toric.

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Giuliano Gagliardi, Johannes Hofscheier, Heath Pearson. 2025-02-28. The generalised Mukai conjecture for spherical varieties. https://arxiv.org/abs/2502.21155

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