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arXiv · 2211.00404

Orbifold K\"ahler-Einstein metrics on projective toric varieties

Lukas Braun
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Abstract

In this short note, we investigate the existence of orbifold K\"ahler-Einstein metrics on toric varieties. In particular, we show that every $\mathbb{Q}$-factorial normal projective toric variety allows an orbifold K\"ahler-Einstein metric. Moreover, we characterize the K-stability of $\mathbb{Q}$-factorial toric pairs of Picard number one in terms of the log Cox ring and the universal orbifold cover.

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Lukas Braun. 2022-11-01. Orbifold K\"ahler-Einstein metrics on projective toric varieties. https://arxiv.org/abs/2211.00404

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