Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinifesimal Criterion for Flatness of Projective Morphism of Schemes   The generalisation of the well-known (Hilbert polynomial) criterion for
flatness of a projective morphism of Noetherian schemes is given for the case
of nonreduced base of the morphism.

14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th