Mathematics – Algebraic Geometry
Scientific paper
2004-10-13
Math. Sb, 2007, 198 (3), 433-446.
Mathematics
Algebraic Geometry
12 pages, 1 figure, typos corrected
Scientific paper
10.1070/SM2007v198n03ABEH003843
The aim of this paper is to prove Golyshev's conjecture in the cases of Fano threefolds $V_{10}$ and $V_{14}$. This conjecture states modularity of D3 equations for smooth Fano threefolds with Picard group Z. More precisely, we find counting matrices of prime two-pointed Gromov-Witten invariants for them. For this we use the method that lets us find Gromov-Witten invariants of complete intersections in varieties whose invariants are (partially) known.
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