Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: K\"ahler-Einstein metrics with mixed Poincar\'e and cone singularities
  along a normal crossing divisor   Let X be a K\"ahler 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 Poincar\'e 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).

4
The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
28
The categories of this paper are: alg-geom