%0 Journal Article
%T On Mirror Symmetry Conjecture for Schoen's Calabi-Yau 3 folds
%A Shinobu Hosono
%A Masa-Hiko Saito
%A Jan Stienstra
%J Mathematics
%D 1997
%I arXiv
%X In 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.
%U http://arxiv.org/abs/alg-geom/9709027v1