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arXiv · 2402.00269

Valuative invariants for linearized line bundles on a spherical variety

Chenxi Yin
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Abstract

We give formulas for various valuative invariants of linearized ample line bundles on a projective spherical variety. Then we show how to use these formulas to study $g$-solitons on a Fano spherical variety. As a corollary, we show that for a Fano horospherical manifold $X$, the corresponding cone $(K_{X})^{\times}$ always admits a Calabi-Yau cone metric.

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Chenxi Yin. 2024-02-01. Valuative invariants for linearized line bundles on a spherical variety. https://arxiv.org/abs/2402.00269

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