Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularities of Pairs via Jet Schemes   Let X be a smooth variety and Y a closed subscheme of X. By comparing motivic
integrals on X and on a log resolution of (X,Y), we prove the following formula
for the log canonical threshold of (X,Y): c(X,Y)=dim X-sup_m{(dim Y_m}/(m+1)},
where Y_m is the mth jet scheme of Y. We show how this formula can be used to
study the log canonical threshold. In particular, we give a proof of the
Semicontinuity theorem of Demailly and Koll\'ar.

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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin