Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On multiples of divisors associated to Veronese embeddings with
  defective secant variety   In this note we consider multiples aD, where D is a divisor of the blow-up of
P^n along points in general position which appears in the Alexander and
Hirschowitz list of Veronese embeddings having defective secant varieties. In
particular we show that there is such a D with h^1(X,D) > 0 and h^1(X,2D) = 0.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin