Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularities of metrics on Hodge bundles and their topological
  invariants   We consider degenerations of complex projective Calabi--Yau varieties and
study the singularities of $L^2$, Quillen and BCOV metrics on Hodge and
determinant bundles. The dominant and subdominant terms in the expansions of
the metrics close to non-smooth fibers are shown to be related to well-known
topological invariants of singularities, such as limit Hodge structures,
vanishing cycles and log-canonical thresholds. We also describe corresponding
invariants for more general degenerating families in the case of the Quillen
metric.

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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
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The categories of this paper are: adap-org
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an