具有混合Poincaré和锥奇点的Kähler-Einstein度量
Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor
摘要：
设X是Kähler流形，D是具有简单正规交叉支集且系数在1/2和1之间的R-因子.假设K_X+D是充分的，根据D的系数证明了具有Poincaré和锥混合奇性的X \D上的负曲Kahler-Einstein度量的存在唯一性.作为应用，我们证明了一个关于（X，D）的全纯张量场的消灭定理.
英文摘要：
Let X be a Kähler manifold and D be a R-divisor with simple normal crossing support and coefficients between 1/2 and 1. Assuming that K_X+D is ample, we prove the existence and uniqueness of a negatively curved Kahler-Einstein metric on X\D having mixed Poincaré and cone singularities according to the coefficients of D. As an application we prove a vanishing theorem for certain holomorphic tensor fields attached to the pair (X,D).
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