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Quantum cohomology of smooth complete intersections in weighted projective spaces and singular toric varieties

Victor Przyjalkowski
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Abstract

We generalize Givental's Theorem for complete intersections in smooth toric varieties in the Fano case. In particular, we find Gromov--Witten invariants of Fano varieties of dimension $\geq 3$, which are complete intersections in weighted projective spaces and singular toric varieties. We generalize the Riemann-Roch equations to weighted projective spaces. We compute counting matrices of smooth Fano threefolds with Picard group Z and anticanonical degrees 2, 8, and 16.

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Victor Przyjalkowski. 2005-07-12. Quantum cohomology of smooth complete intersections in weighted projective spaces and singular toric varieties. https://arxiv.org/abs/math/0507232

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