Picard-Fuchs equations and mirror maps for hypersurfaces

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dc.creatorMorrison, David R.
dc.date1991-11-12
dc.date.accessioned2026-07-07T09:13:55Z
dc.date.available2026-07-07T09:13:55Z
dc.descriptionWe describe a strategy for computing Yukawa couplings and the mirror map, based on the Picard-Fuchs equation. (Our strategy is a variant of the method used by Candelas, de la Ossa, Green, and Parkes in the case of quintic hypersurfaces.) We then explain a technique of Griffiths which can be used to compute the Picard-Fuchs equations of hypersurfaces. Finally, we carry out the computation for four specific examples (including quintic hypersurfaces, previously done by Candelas et al.). This yields predictions for the number of rational curves of various degrees on certain hypersurfaces in weighted projective spaces. Some of these predictions have been confirmed by classical techniques in algebraic geometry.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9111025
dc.identifierhttp://arxiv.org/abs/hep-th/9111025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152495
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titlePicard-Fuchs equations and mirror maps for hypersurfaces
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