PicardFuchs equations and mirror maps for hypersurfaces
Abstract
We describe a strategy for computing Yukawa couplings and the mirror map, based on the PicardFuchs 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 PicardFuchs 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.
 Publication:

arXiv eprints
 Pub Date:
 November 1991
 arXiv:
 arXiv:hepth/9111025
 Bibcode:
 1991hep.th...11025M
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry
 EPrint:
 23 pages