Bibliographie
257
[A2]
Arapura, D. : Higgs line bundles, Green-Lazarsfeld sets, and maps of K¨ ahler
manifolds to curves, Bull. AMS 26 (1992) 310–314.
[A-M]
Aspinwall, P.S., Morrison, D.R. : Topological field theory and rational curves,
Comm. Math. Phys. 151 (1993) 245-262.
[Ba]
Batyrev, V. : Dual polyhedron and mirror symmetry for Calabi-Yau hypersurfaces,
Pr´ epublication (1992).
[B-C-O-V] Bershadsky, M., Cecotti, S., Ooguri, H., Vafa, C. : Kodaira-Spencer theory of gravity
and exact results for quantum string amplitudes Comm. Math. Phys. 165 (1994)
311–427.
[Bea]
Beauville, A. : Vari´ et´ es k¨ ahleriennes dont la premi` ere classe de Chern est nulle, J.
Diff. Geom. 18 (1983) 755-782.
[B-G]
Bryant, R., Griffiths, P.A. : Some observations on the infinitesimal period relations
for regular threefolds with trivial canonical bundle, dans : Arithmetic and Geometry
II, Birkh. Verlag Progress in Mathematics 36 (1983). 77-102.
[B-M]
Bertin, J., Markushevich, D. : Singularit´ es quotients non ab´ eliennes de dimension 3
et vari´ et´ es de Calabi-Yau, Math. Ann. 299 (1994)105–116.
[Bo]
Borel et al. : Algebraic D-Modules, Academic Press (1987).
[Bry]
Brylinski, J.-L. : Transformations canoniques, dualit´ e projective, th´ eorie de Lefschetz, transformation de Fourier et sommes trigonom´ etriques. Dans : G´ eom´ etrie et
analyse microlocales, Ast´ erique 140-141 Soc. Math. France (1986) 3–134.
[B-S]
Batyrev, V., van Straten, D. : Generalized hypergeometric functions and rational
curves on Calabi-Yau complete intersections in toric varieties, Comm. Math. Physics
168 (1995) 493-533.
[B-Z]
Brylinski, J-L., Zucker, S. : An Overview of recent advances in Hodge theory, dans :
Several Complex variables VI, W, Barth & R. Narasimham (Eds) Encyclopedia of
Mathematical Sciences 69 Springer Verlag 1990, pp. 39–142.
[C-G]
Carlson, J., Griffiths, P. : Infinitesimal Variations of Hodge Structure and the global
Torelli Problem, dans : Journ´ ees de g´ eom´ etrie alg´ ebrique, Angers 1979, SijthoffNoordhoff, Alphen and Rijn (1980), 51–76.
[C-G-M] Cheeger, J., Goresky M., MacPherson, M. : L 2 -cohomology and intersection homology of singular algebraic varieties. Dans : Ann. Math. Studies 102 Princeton Univ.
Press(1982) 303–340.
[C-G-G-H] Carlson, J., Green, M., Griffiths, P., Harris, J. : Infinitesimal Variations of Hodge
Structure I, Comp. Math. 50 (1983) 109–205.
[Ch1]
Cheeger, J. : On the Hodge theory of Riemannian pseudomanifolds. Dans : Geometry
of the Laplace operator, Proc. Symp. Pure Math. 36 (1980) 91–146.
[Ch2]
Cheeger, J. : Hodge theory of complex cones. Dans : Analyse et Topologie sur les
Espaces Singuliers, Ast´ erisque 101-102, Soc. Math. France (1983) 303–340.
[C-H]
Candelas, P., He, A. : On the number of complete intersection Calabi-Yau manifolds,
Comm. Math. Phys. 135 (1990) 193-199.
[C-K]
Cattani, E., Kaplan, A. : Degenerating variations of Hodge structures (Th´ eorie de
Hodge 1987) Ast´ erique 179–180 (1989) .
[C-K-S1] Cattani, E., Kaplan, A., Schmid, W. : Degenerations of Hodge structures, Ann.
Math. 123 (1986) 457–536.
[C-K-S2] Cattani, E., Kaplan, A., Schmid, W. : L 2 and intersection cohomology for a polarized
variation of Hodge structure, Invent. Math. 87 (1987) 217–252.
[Cl]
Clemens, C.H. : Degeneration of K¨ ahler manifolds, Duke Math. J. 44 (1977) 215–
290.
[C-L]
Coddington, E.A., Levinson, N. : Theory of ordinary differential equations, McGrawHill, New-York (1955).
[Co-G]
Cornalba, M., Griffiths, P. : Some transcendental aspects of algebraic geometry,
Proc. Symp. Pure Math. AMS 29 (1975) 3–110.
257
[A2]
Arapura, D. : Higgs line bundles, Green-Lazarsfeld sets, and maps of K¨ ahler
manifolds to curves, Bull. AMS 26 (1992) 310–314.
[A-M]
Aspinwall, P.S., Morrison, D.R. : Topological field theory and rational curves,
Comm. Math. Phys. 151 (1993) 245-262.
[Ba]
Batyrev, V. : Dual polyhedron and mirror symmetry for Calabi-Yau hypersurfaces,
Pr´ epublication (1992).
[B-C-O-V] Bershadsky, M., Cecotti, S., Ooguri, H., Vafa, C. : Kodaira-Spencer theory of gravity
and exact results for quantum string amplitudes Comm. Math. Phys. 165 (1994)
311–427.
[Bea]
Beauville, A. : Vari´ et´ es k¨ ahleriennes dont la premi` ere classe de Chern est nulle, J.
Diff. Geom. 18 (1983) 755-782.
[B-G]
Bryant, R., Griffiths, P.A. : Some observations on the infinitesimal period relations
for regular threefolds with trivial canonical bundle, dans : Arithmetic and Geometry
II, Birkh. Verlag Progress in Mathematics 36 (1983). 77-102.
[B-M]
Bertin, J., Markushevich, D. : Singularit´ es quotients non ab´ eliennes de dimension 3
et vari´ et´ es de Calabi-Yau, Math. Ann. 299 (1994)105–116.
[Bo]
Borel et al. : Algebraic D-Modules, Academic Press (1987).
[Bry]
Brylinski, J.-L. : Transformations canoniques, dualit´ e projective, th´ eorie de Lefschetz, transformation de Fourier et sommes trigonom´ etriques. Dans : G´ eom´ etrie et
analyse microlocales, Ast´ erique 140-141 Soc. Math. France (1986) 3–134.
[B-S]
Batyrev, V., van Straten, D. : Generalized hypergeometric functions and rational
curves on Calabi-Yau complete intersections in toric varieties, Comm. Math. Physics
168 (1995) 493-533.
[B-Z]
Brylinski, J-L., Zucker, S. : An Overview of recent advances in Hodge theory, dans :
Several Complex variables VI, W, Barth & R. Narasimham (Eds) Encyclopedia of
Mathematical Sciences 69 Springer Verlag 1990, pp. 39–142.
[C-G]
Carlson, J., Griffiths, P. : Infinitesimal Variations of Hodge Structure and the global
Torelli Problem, dans : Journ´ ees de g´ eom´ etrie alg´ ebrique, Angers 1979, SijthoffNoordhoff, Alphen and Rijn (1980), 51–76.
[C-G-M] Cheeger, J., Goresky M., MacPherson, M. : L 2 -cohomology and intersection homology of singular algebraic varieties. Dans : Ann. Math. Studies 102 Princeton Univ.
Press(1982) 303–340.
[C-G-G-H] Carlson, J., Green, M., Griffiths, P., Harris, J. : Infinitesimal Variations of Hodge
Structure I, Comp. Math. 50 (1983) 109–205.
[Ch1]
Cheeger, J. : On the Hodge theory of Riemannian pseudomanifolds. Dans : Geometry
of the Laplace operator, Proc. Symp. Pure Math. 36 (1980) 91–146.
[Ch2]
Cheeger, J. : Hodge theory of complex cones. Dans : Analyse et Topologie sur les
Espaces Singuliers, Ast´ erisque 101-102, Soc. Math. France (1983) 303–340.
[C-H]
Candelas, P., He, A. : On the number of complete intersection Calabi-Yau manifolds,
Comm. Math. Phys. 135 (1990) 193-199.
[C-K]
Cattani, E., Kaplan, A. : Degenerating variations of Hodge structures (Th´ eorie de
Hodge 1987) Ast´ erique 179–180 (1989) .
[C-K-S1] Cattani, E., Kaplan, A., Schmid, W. : Degenerations of Hodge structures, Ann.
Math. 123 (1986) 457–536.
[C-K-S2] Cattani, E., Kaplan, A., Schmid, W. : L 2 and intersection cohomology for a polarized
variation of Hodge structure, Invent. Math. 87 (1987) 217–252.
[Cl]
Clemens, C.H. : Degeneration of K¨ ahler manifolds, Duke Math. J. 44 (1977) 215–
290.
[C-L]
Coddington, E.A., Levinson, N. : Theory of ordinary differential equations, McGrawHill, New-York (1955).
[Co-G]
Cornalba, M., Griffiths, P. : Some transcendental aspects of algebraic geometry,
Proc. Symp. Pure Math. AMS 29 (1975) 3–110.