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

@inproceedings{Braun2022OrbifoldKM, title={Orbifold K\"ahler-Einstein metrics on projective toric varieties}, author={Lukas Braun}, year={2022} }

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

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