Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounding Projective Hypersurface Singularities   We compare several different methods involving Hodge-theoretic spectra of
singularities which produce constraints on the number and type of isolated
singularities on projective hypersurfaces of fixed degree. In particular, we
introduce a method based on the spectrum of the nonisolated singularity at the
origin of the affine cone on such a hypersurface, and relate the resulting
explicit formula to Varchenko's bound.

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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: stat