Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-Hodge Metrics and Canonical Singularities   We study one parameter degenerations of complex projective manifolds by
introducing certain type of Hodge metrics coming from the pluricanonical forms.
We show that degenerations with at most canonical singularities are all in the
finite distance boundary of moduli spaces. We also propose the converse to be
true in the sense that finite distance degenerations admit birational models
which have at most canonical singularities in the degenerate fiber. We verify
this for curves and show that the Calabi-Yau case follows from the minimal
model conjecture.

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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin