Displaying similar documents to “Cohomology of the G-Hilbert Scheme for 1/r(1,1,R−1)”

Computing the quantum cohomology of some Fano threefolds and its semisimplicity

Gianni Ciolli (2004)

Bollettino dell'Unione Matematica Italiana

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We compute explicit presentations for the small Quantum Cohomology ring of some Fano threefolds which are obtained as one- or two-curve blow-ups from P 3 or the smooth quadric. Systematic usage of the associativity property of quantum product implies that 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...