Gromov-Witten invariants of Fano threefolds of genera 6 and 8

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dc.creatorPrzyjalkowski, Victor
dc.date2004-10-13
dc.date2007-01-07
dc.date.accessioned2026-07-07T08:20:01Z
dc.date.available2026-07-07T08:20:01Z
dc.descriptionThe 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.
dc.description12 pages, 1 figure, typos corrected
dc.identifierhttps://arxiv.org/abs/math/0410327
dc.identifierhttp://arxiv.org/abs/math/0410327
dc.identifierMath. Sb, 2007, 198 (3), 433-446.
dc.identifierdoi:10.1070/SM2007v198n03ABEH003843
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134965
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subject14N35; 14J45
dc.titleGromov-Witten invariants of Fano threefolds of genera 6 and 8
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