Bibliographie
259
[H-K-S-Y] Hosono, S., Klemm, A.K., Theisen, S., Yau, S.-T. : Mirror symmetry and applications to Calabi-Yau hypersurfaces, Comm. Math. Phys. 167 (1995) 300-350.
[H-S]
Hinich, V., Schechtmann, V. : Higher deformation theory (I), Pr´ epublication MSRI
(1994).
[K1]
Kontsevich, M. : Homological algebra of mirror symmetry, Intern. Congress of
Mathemetics, Z¨ urich (1994) 120–139, Birkh¨ auser Verlag, Basel (1995).
[K2]
Kontsevich, M. : Mirror symmetry in dimension 3,S´ eminaire Bourbaki 1995.
[Ka]
Katz, N. : Algebraic solution of differential equations (p-curvature and the Hodge
filtration), Invent. Math. 18 (1972) 1–18.
[Kas]
Kashiwara, M. : The Riemann-Hilbert problem for holonomic systems, Publ.
R.I.M.S. Kyoto Univ. 20 (1984) 319–365.
[Ki]
Kirwan, F. : An introduction to intersection homology theory, Longman Scientific
& Technical, Harlow, Essex, (1988) .
[K-K]
Kashiwara, M., Kawai, T. : The Poincar´ e lemma for variations of Polarized Hodge
structures. Publ. R.I.M.S. Kyoto Univ. 23 (1987) 345–407.
[K-M]
Kontsevich, M., Manin, Yu. : Gromov-Witten classes, quantum cohomology and
enumerative geometry, Commun. Math. Phys. 164 (1994) 525-562.
[K-O]
Katz, N., Oda, T. : On the differentiation of the De Rham cohomology classes with
respect to parameters, J. Math. Kyoto Univ. 1 (1968) 199-213.
[K-S]
Kodaira, K., Spencer, D.C. : On deformations of complex analytic structures I-II,
Ann. Math. 67 (1958) 328-466.
[K-S2]
Kodaira, K., Spencer, D.C. : A theorem of completeness for complex analytic fibre
spaces, Acta Math. 100 (1958) 450–459.
[Ku]
Kuranishi, M. : On the locally complete families of complex analytic structures,Ann.
Math. 75 (1962) 536–577.
[La]
Landman, A. : On the Picard-Lefschetz transformations Trans. AMS 181 (1973)
89–126.
[L-T]
Libgober, A., Teitelbaum, J. : Lines on Calabi-Yau complete intersections, mirror
symmetry, and Picard-Fuchs equations, Int. Math., Research Notes 1 (1993) 29-38.
[L-Y]
Lian, B.H., Yau, S-T. : Arithmetic properties of mirror map and quantum coupling,
Pr´ epublication hep-th/9411234 (1994).
[M1]
Mebkhout, Z. : Une ´ equivalence de cat´ egories et une autre ´ equivalence de cat´ egories.
Ark. Math. 50 (1984) 51–88.
[M2]
Mebkhout, Z. : Le formalisme des six op´ erations de Grothendieck pour les Dmodules coh´ erents. Hermann, 1989.
[Mil]
Milnor, J. : Singular points of complex hypersurfaces. Princeton Univ. Press, 1968.
[Mor1]
Morrison, D.R. : Mirror symmetry and rational curves on quintic threefolds : A
guide for mathematicians, J. Amer. Math. Soc. 6 (1993) 223-247.
[Mor2]
Morrison, D.R. : Picard-Fuchs equations and mirror maps for hypersurfaces, dans
[Y2] 241-264.
[Mor3]
Morrison, D.R. : Introduction to mirror manifolds, Lectures at the Park City
Regional Geometry Institute (1993).
[Mor4]
Morrison, D.R. : Compactifications of moduli spaces inspired by mirror symmetry,
Soc. Math. de France, Ast´ erisque 218 (1993) 242–271.
[Mor5]
Morrison, D.R. : Hodge theoretic aspects of mirror symmetry `
a paraˆ ıtre.
[NA]
Navarro Aznar, V. : Sur la th´ eorie de Hodge-Deligne, Invent. Math. 90 (1987) 11–76.
[Ohs1]
Ohsawa, T. : Cheeger-Goresky-MacPherson’s conjecture for the varieties with isolated singularities, Math. Zeitschrift 206 (1991) 219–224.
[Ohs2]
Ohsawa, T. : On the L 2 cohomology of complex spaces, Math. Zeitschrift 209 (1992)
519–530.
259
[H-K-S-Y] Hosono, S., Klemm, A.K., Theisen, S., Yau, S.-T. : Mirror symmetry and applications to Calabi-Yau hypersurfaces, Comm. Math. Phys. 167 (1995) 300-350.
[H-S]
Hinich, V., Schechtmann, V. : Higher deformation theory (I), Pr´ epublication MSRI
(1994).
[K1]
Kontsevich, M. : Homological algebra of mirror symmetry, Intern. Congress of
Mathemetics, Z¨ urich (1994) 120–139, Birkh¨ auser Verlag, Basel (1995).
[K2]
Kontsevich, M. : Mirror symmetry in dimension 3,S´ eminaire Bourbaki 1995.
[Ka]
Katz, N. : Algebraic solution of differential equations (p-curvature and the Hodge
filtration), Invent. Math. 18 (1972) 1–18.
[Kas]
Kashiwara, M. : The Riemann-Hilbert problem for holonomic systems, Publ.
R.I.M.S. Kyoto Univ. 20 (1984) 319–365.
[Ki]
Kirwan, F. : An introduction to intersection homology theory, Longman Scientific
& Technical, Harlow, Essex, (1988) .
[K-K]
Kashiwara, M., Kawai, T. : The Poincar´ e lemma for variations of Polarized Hodge
structures. Publ. R.I.M.S. Kyoto Univ. 23 (1987) 345–407.
[K-M]
Kontsevich, M., Manin, Yu. : Gromov-Witten classes, quantum cohomology and
enumerative geometry, Commun. Math. Phys. 164 (1994) 525-562.
[K-O]
Katz, N., Oda, T. : On the differentiation of the De Rham cohomology classes with
respect to parameters, J. Math. Kyoto Univ. 1 (1968) 199-213.
[K-S]
Kodaira, K., Spencer, D.C. : On deformations of complex analytic structures I-II,
Ann. Math. 67 (1958) 328-466.
[K-S2]
Kodaira, K., Spencer, D.C. : A theorem of completeness for complex analytic fibre
spaces, Acta Math. 100 (1958) 450–459.
[Ku]
Kuranishi, M. : On the locally complete families of complex analytic structures,Ann.
Math. 75 (1962) 536–577.
[La]
Landman, A. : On the Picard-Lefschetz transformations Trans. AMS 181 (1973)
89–126.
[L-T]
Libgober, A., Teitelbaum, J. : Lines on Calabi-Yau complete intersections, mirror
symmetry, and Picard-Fuchs equations, Int. Math., Research Notes 1 (1993) 29-38.
[L-Y]
Lian, B.H., Yau, S-T. : Arithmetic properties of mirror map and quantum coupling,
Pr´ epublication hep-th/9411234 (1994).
[M1]
Mebkhout, Z. : Une ´ equivalence de cat´ egories et une autre ´ equivalence de cat´ egories.
Ark. Math. 50 (1984) 51–88.
[M2]
Mebkhout, Z. : Le formalisme des six op´ erations de Grothendieck pour les Dmodules coh´ erents. Hermann, 1989.
[Mil]
Milnor, J. : Singular points of complex hypersurfaces. Princeton Univ. Press, 1968.
[Mor1]
Morrison, D.R. : Mirror symmetry and rational curves on quintic threefolds : A
guide for mathematicians, J. Amer. Math. Soc. 6 (1993) 223-247.
[Mor2]
Morrison, D.R. : Picard-Fuchs equations and mirror maps for hypersurfaces, dans
[Y2] 241-264.
[Mor3]
Morrison, D.R. : Introduction to mirror manifolds, Lectures at the Park City
Regional Geometry Institute (1993).
[Mor4]
Morrison, D.R. : Compactifications of moduli spaces inspired by mirror symmetry,
Soc. Math. de France, Ast´ erisque 218 (1993) 242–271.
[Mor5]
Morrison, D.R. : Hodge theoretic aspects of mirror symmetry `
a paraˆ ıtre.
[NA]
Navarro Aznar, V. : Sur la th´ eorie de Hodge-Deligne, Invent. Math. 90 (1987) 11–76.
[Ohs1]
Ohsawa, T. : Cheeger-Goresky-MacPherson’s conjecture for the varieties with isolated singularities, Math. Zeitschrift 206 (1991) 219–224.
[Ohs2]
Ohsawa, T. : On the L 2 cohomology of complex spaces, Math. Zeitschrift 209 (1992)
519–530.