论文标题
OrbifoldKähler-Einstein关于投射曲折品种的指标
Orbifold Kähler-Einstein metrics on projective toric varieties
论文作者
论文摘要
简而言之，我们研究了OrbifoldKähler-Einstein在感谢您的品种上的存在。特别是，我们表明，每一个$ \ mathbb {q} $ - 阶乘普通投射的旋转曲线品种允许OrbifoldKähler-Einstein指标。此外，我们表征了$ \ mathbb {q} $的K稳定性 - PICARD第一的cortorial toric cox cox环和通用orbifold封面。
In this short note, we investigate the existence of orbifold Kähler-Einstein metrics on toric varieties. In particular, we show that every $\mathbb{Q}$-factorial normal projective toric variety allows an orbifold Kähler-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.
