On Mirror Symmetry Conjecture for Schoen's Calabi-Yau 3 folds

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dc.creatorHosono, Shinobu
dc.creatorSaito, Masa-Hiko
dc.creatorStienstra, Jan
dc.date1997-09-25
dc.date.accessioned2026-07-07T09:07:26Z
dc.date.available2026-07-07T09:07:26Z
dc.descriptionIn this paper, we verify a part of the Mirror Symmetry Conjecture for Schoen's Calabi-Yau 3-fold, which is a special complete intersection in a toric variety. We calculate a part of the prepotential of the A-model Yukawa couplings of the Calabi-Yau 3-fold directly by means of a theta function and Dedekind's eta function. This gives infinitely many Gromov-Witten invariants, and equivalently infinitely many sets of rational curves in the Calabi-Yau 3-fold. Using the toric mirror construction, we also calculate the prepotential of the B-model Yukawa couplings of the mirror partner. Comparing the expansion of the B-model prepotential with that of the A-model prepotential, we check a part of the Mirror Symmetry Conjecture up to a high order.
dc.descriptionLaTeX Version 2.09, 36 pages. Submitted to The Proceedings of Taniguchi Symposium 1997, "Integrable Systems and Algebraic Geometry, Kobe/Kyoto"
dc.identifierhttps://arxiv.org/abs/alg-geom/9709027
dc.identifierhttp://arxiv.org/abs/alg-geom/9709027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150374
dc.subjectAlgebraic Geometry
dc.titleOn Mirror Symmetry Conjecture for Schoen's Calabi-Yau 3 folds
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