@incollection{SB_1985-1986__28__7_0, author = {Beauville, Arnaud}, title = {Le probl\`eme de Torelli}, booktitle = {S\'eminaire Bourbaki : volume 1985/86, expos\'es 651-668}, author = {Collectif}, series = {Ast\'erisque}, note = {talk:651}, publisher = {Soci\'et\'e math\'ematique de France}, number = {145-146}, year = {1987}, zbl = {0621.14012}, mrnumber = {880023}, language = {fr}, url = {www.numdam.org/item/SB_1985-1986__28__7_0/} }
Beauville, Arnaud. Le problème de Torelli, dans Séminaire Bourbaki : volume 1985/86, exposés 651-668, Astérisque, no. 145-146 (1987), Exposé no. 651, 14 p. http://www.numdam.org/item/SB_1985-1986__28__7_0/
[A] On a theorem of Torelli, Amer. J. of Math. 80 (1958), 801-821. | MR 102518 | Zbl 0084.17304
-[B 1] Les singularités du diviseur Θ de la jacobienne intermédiaire de l'hypersurface cubique dans P4 , Algebraic Threefolds, Springer-Verlag Lect. Notes 947 (1982), 190-208. | Zbl 0492.14033
-[B 2] Surfaces K3, Exposé 609 au Séminaire Bourbaki (juin 1983) Astérisque 105-106 (1983), 217-229. | Numdam | MR 728990 | Zbl 0528.14016
-[B-P-V] Compact complex surfaces, Springer-Verlag, Heidelberg (1984). | MR 749574 | Zbl 0718.14023
, , -[C 1] The moduli and the global period mapping of surfaces with K2 = pg = 1 : a counterexample to the global Torelli problem, Compositio math. 41 (1980), 401-414. | Numdam | MR 589089 | Zbl 0444.14008
-[C 2] On the period map of surfaces with K2 = χ = 2 , Classification of algebraic and analytic manifolds (K. Ueno, editor). Progress in Math. 39, Birkhäuser (1983), 27-43. | Zbl 0543.14019
-[C-D] Surfaces with K2 = 2 , pg = 1 , q = 0 , à paraître. | Zbl 0658.14016
, -[C-G] Infinitesimal variations of Hodge structure and the global Torelli problem, Journées de géométrie algébrique d'Angers, Sijthoff and Nordhoff (1980), 51-76. | MR 605336 | Zbl 0479.14007
, -[Ch 1 ] Counterexamples to global Torelli for certain simply-connected surfaces, Bull. Amer. Math. Soc. 2 (1980), 297-299. | MR 555265 | Zbl 0432.32014
-[Ch 2] The Torelli problem for elliptic pencils, Topics in transcendental algebraic geometry (P. Griffiths, editor), Annals of Math. Studies 106, Princeton University Press (1984), 157-181. | MR 756851 | Zbl 0603.14021
-[Ci] On a proof of Torelli's theorem, Algebraic geometry - open problems, Springer-Verlag, Lect. Notes 997 (1983), 113-123. | MR 714743 | Zbl 0513.14016
-[C1-G] The intermediate Jacobian of the cubic threefold, Ann. of Math. 95 (1972), 218-356. | MR 302652 | Zbl 0214.48302
, -[Co] Sulle trasformazioni hermitiane delle varietà di Jacobi, Atti R. Accad. Sci. Torino, 50 (1914-15), 439-455. | JFM 45.1359.03
-[Co-D] On the failure of variational Torelli for regular elliptic surfaces with a section, à paraître. | Zbl 0566.14005
, -[D] Sur la démonstration de A. Weil du théorème de Torelli pour les courbes, Compositio math. 58 (1986), 3-11. | Numdam | MR 834045 | Zbl 0623.32017
-[De] Travaux de Griffiths, Exposé 376 du Séminaire Bourbaki (juin 1970), Springer-Verlag, Lect. Notes 180 (1971). | Numdam | MR 498581 | Zbl 0208.48601
-[Do 1] Generic Torelli for projective hypersurfaces, Compositio Math. 50 (1983), 325-353. | Numdam | MR 720291 | Zbl 0598.14007
-[Do 2] Generic Torelli and variational Schottky, Topics in transcendental algebraic geometry (P. Griffiths, editor), Annals of Math. Studies 106, Princeton University Press (1984), 239-258. | MR 756855 | Zbl 0603.14010
-[Do-G] A new proof of the symmetrizer lemma and a stronger weak Torelli theorem for projective hypersurfaces, J. of Diff. Geometry 20(1984), 459-461. | MR 788289 | Zbl 0599.14005
, -[F] The infinitesimal Torelli problem for zero sets of sections of vector bundles, à paraître. | Zbl 0613.14010
-[F-S] Degenerations of Phym varieties and intersections of three quadrics, à paraître. | Zbl 0619.14027
, -[G 1 ] Quadrics of rank four in the ideal of a canonical curve, Inventiones math. 75 (1984), 85-104. | MR 728141 | Zbl 0542.14018
-[G 2] Koszul cohomology of projective varieties, J. of Diff. Geometry 19 (1984), 125-171. | MR 739785 | Zbl 0559.14008
-[G 3] The period map for hypersurfaces sections of high degree of an arbitrary variety, Compositio math. 55 (1984), 135-156. | Numdam | MR 795711 | Zbl 0588.14004
-[Gr 1 ] Periods of integrals on algebraic manifolds, I et II, Amer. J. of Math. 40 (1968), 568-626 et 805-865. | Zbl 0183.25501
-[Gr 2] On the periods of certain rational integrals, I et II, Ann. of Math. 90 (1969), 460-541. | MR 260733 | Zbl 0215.08103
-[G-H] Principles of algebraic geometry, J. Wiley and sons (1978). | MR 507725 | Zbl 0836.14001
, -[H] On the periods of Enriques surfaces, I et II, Math. Annalen 234 (1978), 73-108 et 235 (1978), 217-246. | MR 491725 | Zbl 0412.14015
-[K] The local Torelli theorem for varieties with divisible canonical class, Math. USSR Izvestija 12 (1978), 53-67. | Zbl 0399.14012
-[Ky] Un exemple de surface simplement connexe de type général pour laquelle le théorème de Torelli local n'est pas satisfait (en russe), C.R. Ac. Bulg. Sci. 30 (1977), 323-325. | MR 441981 | Zbl 0363.14005
-[L-P-W] A theorem of local Torelli type, Math. Annalen 231 (1977), 39-45. | MR 499326 | Zbl 0367.14006
, , -[M] A new proof of Torelli's theorem, Ann. of Math. 78 (1963), 107-111. | MR 152528 | Zbl 0147.20801
-[Ma] On a theorem of Torelli, Amer. J. of Math. 80 (1958), 784-800. | MR 97398 | Zbl 0100.35602
-[Me] Théorème de Torelli affine pour les intersections de deux quadriques, Inventiones math. 80 (1985), 375-416. | MR 791666 | Zbl 0554.14002
-[N] Periods of Enriques surfaces, Math. Annalen 270 (1985), 201-222. | MR 771979 | Zbl 0536.14024
-[O-S] On the local Torelli problem for algebraic curves, Journées de géométrie algébrique d'Angers, Sijthoff and Noordhoff (1980), 157-204. | MR 605341 | Zbl 0444.14007
, -[R] The complete intersection of two or more quadrics, Thesis, Cambridge (1972).
-[S] Weak global Torelli theorem for certain weighted projective hypersurfaces, à paraître au Duke J. of math. | Zbl 0606.14031
-[S-D] Variétés de translation et théorème de Torelli, C.R. Ac. Sci. Paris, Série A 280 (1975), 1611-1612. | MR 469925 | Zbl 0304.14022
-[Tj 1] The geometry of the Fano surface of a nonsingular cubic F ⊂ P4 and Torelli theorems for Fano surfaces and cubics, Math. USSR Izvestija 5 (1971), 517-546. | Zbl 0252.14004
-[Tj 2] On intersections of quadrics, Russian Math. Surveys 30 (1975), 51-105. | MR 424833 | Zbl 0339.14020
-[T 1] Surfaces of general type with pg = 1 and K2 = 1 , Ann. Sci. Ec. Norm. Sup. 13 (1980), 1-21. | Numdam | MR 584080 | Zbl 0478.14030
-[T 2] A construction of surfaces with pg = 1 , q = 0 and 2 ≦ K2 ≦ 8 , counterexamples of the global Torelli theorem, Inventiones math. 63, (1981), 287-304. | Zbl 0457.14016
-[To] Sulle varietà di Jacobi, Rend. Acc. Lincei (5) 22 (1914), 98-103. | JFM 44.0655.03
-[U 1] Local Torelli theorem for some nonsingular weighted complete intersections, Proc. of the Inter. Symposium on algebraic geometry, Kinokuniya, Tokyo (1978), 723-734. | MR 578884 | Zbl 0418.14005
-[U 2] Period map of surfaces with pg = c21 = 1 and K ample, Mem. Fac. Sci. Kochi Univ. ser. A, 2 (1981), 37-73. | MR 602105 | Zbl 0487.14007
-[U 3] Variation of mixed Hodge structures arising from family of logarithmic deformations, Ann. scient. Ec. Norm. Sup. 16 (1983), 91-107. | Numdam | MR 719764 | Zbl 0516.14006
-[V] Le théorème de Torelli pour les hypersurfaces cubiques dans P5 , à paraître à Inventiones math.
-[W] Zum Beweis des Torellischen Satzes, Nachr. Akad. Wiss. Göttingen Math. Phys. K1 IIa (1957) 33-53. | MR 89483 | Zbl 0079.37002
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