Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational curves in CICY's in products of two projective spaces   Let $X$ be the product of two projective spaces and consider the general CICY
threefold $Y$ in $X$ with configuration matrix $A$. We prove the finiteness
part of the analogue of the Clemens' conjecture for such a CICY in low
bidegrees. More precisely, we prove that the number of smooth rational curves
on $Y$ with low bidegree and with nondegenerate birational projection is at
most finite (even in cases in which positive dimensional families of degenerate
rational curves are known).

5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: cs