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Mirror symmetry for two-parameter models. II. (English) Zbl 1020.32506

32G20 Period matrices, variation of Hodge structure; degenerations
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
14N10 Enumerative problems (combinatorial problems) in algebraic geometry
32G81 Applications of deformations of analytic structures to the sciences
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
Full Text: DOI
[1] Candelas, P.; de la Ossa, X.; Font, A.; Katz, S.; Morrison, D.R., Nucl. phys. B, 416, 481, (1994)
[2] Candelas, P.; de la Ossa, X.; Green, P.; Parkes, L., Nucl. phys. B, 359, 21, (1991)
[3] Morrison, D.R., Picard-Fuchs equations and mirror maps for hypersurfaces, () · Zbl 0904.32020
[4] Font, A., Nucl. phys. B, 391, 358, (1993)
[5] Klemm, A.; Theisen, S., Nucl. phys. B, 389, 153, (1993)
[6] Mirror maps and instanton sums for complete intersections in weighted projective space, preprint LMU-TPW 93-08 [hep-th/9304034].
[7] Libgober, A.; Teitelbaum, J., Intern. math. res. notices, 15, (1993)
[8] V. Batyrev and D. van Straten, Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties, Essen preprint [alg-geom/9307010]. · Zbl 0843.14016
[9] A. Ceresole, R. D’Auria and T. Regge, Duality group for Calabi-Yau 2-moduli space, preprint DFTT-34-93 [hep-th/9307151].
[10] Bershadsky, M.; Cecotti, S.; Ooguri, H.; Vafa, C., Nucl. phys. B, 405, 279, (1993), with an appendix by S. Katz
[11] S. Hosono, A. Klemm, S. Theisen and S.-T. Yau, Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces, preprint HUTMP-93/0801 [hep-th/9308122]. · Zbl 0814.53056
[12] Greene, B.R.; Plesser, M.R., Nucl. phys. B, 338, 15, (1990)
[13] Aspinwall, P.S.; Greene, B.R.; Morrison, D.R., Intern. math. res. notices, 319, (1993)
[14] Oda, T.; Park, H.S., Tǒhoku math. J., 43, 375, (1991)
[15] Billera, L.J.; Filliman, P.; Sturmfels, B., Adv. math., 83, 155, (1990)
[16] Aspinwall, P.S.; Greene, B.R.; Morrison, D.R.; Aspinwall, P.S.; Greene, B.R.; Morrison, D.R., Phys. lett. B, Nucl. phys. B, 416, 414, (1994)
[17] P. Berglund, P. Candelas, X. de la Ossa, A. Font, T. Hübsch, D. Jančić and F. Quevedo, Periods for Calabi-Yau and Landau-Ginzburg vacua, preprint CERN TH. 6865/93, HUPAPP-93/3, NEIP 93-004, NSF-ITP-93-96, UTTG-13-93 [hepth-9308005].
[18] Dimca, A., Singularities and topology of hypersurfaces, (1992), Springer Berlin · Zbl 0753.57001
[19] D.R. Morrison, Compactifications of moduli spaces inspired by mirror symmetry, preprint DUK-M-93-06, [alg-geom/9304007].
[20] Cadavid, A.C.; Ferrara, S., Phys. lett. B, 267, 193, (1991)
[21] Blok, B.; Varchenko, A., Intern. J. mod. phys. A, 7, 1467, (1992)
[22] Lerche, W.; Smith, D.J.; Warner, N.P., Nucl. phys. B, 372, 87, (1992)
[23] Ceresole, A.; D’Auria, R.; Ferrara, S.; Lerche, W.; Louis, J., Intern. J. mod. phys. A, 8, 79, (1993)
[24] Candelas, P., Nucl. phys. B, 298, 458, (1988)
[25] Aspinwall, P.S.; Morrison, D.R., Commun. math. phys., 151, 245, (1993)
[26] Erdélyi, A.; Oberhettinger, F.; Magnus, W.; Tricomi, F.G., ()
[27] McDuff, D., Invent. math., 89, 13, (1987)
[28] Katz, S., Rational curves on Calabi-Yau threefolds, () · Zbl 0835.14015
[29] Kuranishi, M., Ann. math., 75, (1962)
[30] Y. Ruan, Topological sigma model and Donaldson type invariants in Gromov theory, preprint. · Zbl 0864.53032
[31] Sommervoll, D.E., Rational curves of low degree on a complete intersection Calabi-Yau threefold in \(P\)^3 x \(P\)3, (June 1993), Oslo preprint No. 11
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