Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of twisted K\"ahler-Einstein metrics and collapsing   We prove that the twisted Kahler-Einstein metrics that arise on the base of
certain holomorphic fiber space with Calabi-Yau fibers have conical-type
singularities along the discriminant locus. These fiber spaces arise naturally
when studying the collapsing of Ricci-flat Kahler metrics on Calabi-Yau
manifolds, and of the Kahler-Ricci flow on compact Kahler manifolds with
semiample canonical bundle and intermediate Kodaira dimension. Our results
allow us to understand their collapsed Gromov-Hausdorff limits when the base is
smooth and the discriminant has simple normal crossings.

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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat