Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Quantum Cohomology of some Fano threefolds and a conjecture of
  Dubrovin   In the present paper the small Quantum Cohomology ring of some Fano
threefolds which are obtained as one- or two-curve blow-ups from $P^3$ or the
quadric $Q^3$ is explicitely computed. Because of systematic usage of the
associativity property of quantum product only a very small and enumerative
subset of Gromov-Witten invariants is needed. Then, for these threefolds the
Dubrovin conjecture on the semisimplicity of Quantum Cohomology is proven by
checking the computed Quantum Cohomology rings and by showing that a smooth
Fano threefold $X$ with $b_3(X)=0$ admits a complete exceptional set of the
appropriate length.

28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org