Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective Matsusaka's Theorem for surfaces in characteristic p   We obtain an effective version of Matsusaka's theorem for arbitrary smooth
algebraic surfaces in positive characteristic, which provides an effective
bound on the multiple which makes an ample line bundle D very ample. The proof
for pathological surfaces is based on a Reider-type theorem. As a consequence,
a Kawamata-Viehweg-type vanishing theorem is proved for arbitrary smooth
algebraic surfaces in positive characteristic.

30
The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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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: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th