Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pluricanonical systems of projective varieties of general type   We prove that there exists a positive integer $\nu_{n}$ depending only on $n$
such that for every smooth projective $n$-fold of general type $X$ defined over
{\bf C}, $\mid mK_{X}\mid$ gives a birational rational map from $X$ into a
projective space for every $m\geq \nu_{n}$. This theorem gives an affirmative
answer to Severi's conjecture. The key ingredients of the proof are the theory
of AZD which was originated by the aurhor and the subadjunction formula for
AZD's of logcanoncial divisors.

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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con