Valuative invariants for linearized line bundles on a spherical variety

2024/02/01 by Yin, Chenxi · 1 citation
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.00269

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)^× always admits a Calabi-Yau cone metric.

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• K-stability of Q-Fano Spherical Varieties via Compatible Divisors

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