Fibré déterminant et courbes relatives
Bulletin de la Société Mathématique de France, Volume 118 (1990) no. 3, pp. 311-361.
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Ducrot, François. Fibré déterminant et courbes relatives. Bulletin de la Société Mathématique de France, Volume 118 (1990) no. 3, pp. 311-361. doi : 10.24033/bsmf.2149. http://archive.numdam.org/articles/10.24033/bsmf.2149/

[1] Alvarez-Gaume (L.), Gomez (C.), Reina (C.). - New Methods in String Theory. - C.E.R.N., preprint TH 4775/87, 1987. | MR

[2] Bourbaki (N.). - Algèbre, Chapitres 4, 5, 6, 7. - Masson, Paris, 1981. | Zbl

[3] Breen (L.). - Fonctions thêta et théorème du cube, Lectures notes in Mathematics 980. - Berlin, Springer Verlag, 1983. | MR | Zbl

[4] Breen (L.). - The Cube Structure on the Determinant Bundle, Theta Functions [Bowdoin 1987], Proceedings of Symposia in Pure Mathematics, t. 49, Part 1, 1987, p. 663-673. | MR | Zbl

[5] Deligne (P.). - La formule de dualité globale, Lecture notes in Mathematics, 305, S.G.A.4, Exposé 18, p. 481-587. - Berlin, Springer Verlag, 1972. | Zbl

[6] Deligne (P.). - Catégories spectrales, Notes manuscrites.

[7] Deligne (P.). - Le déterminant de la cohomologie, Contemp. Math., t. 67, Current Trends in Arithmetical Algebraic Geometry, Providence, A.M.S., p. 663-673. | MR | Zbl

[8] Elkik (R.). - Fibrés d'intersections et intégrales de classes de Chern, Ann. Scient. Ec. Norm. Sup., t. 22, 4ème série, 1989, p. 195-226. | EuDML | Numdam | MR | Zbl

[9] Fay (J.). - Theta Functions on Riemann Surfaces, Lectures notes in Mathematics 352. - Berlin, Springer Verlag, 1973. | MR | Zbl

[10] Grothendieck (A.). - Compléments sur les biextensions, S.G.A.7.I, Groupes de monodromie en géométrie algébrique, Lecture Notes in Mathematics, 288, p. 218-312. - Berlin, Springer Verlag, 1972. | MR | Zbl

[11] Grothendieck (A.), Dieudonné (J.). - Élements de géométrie algébrique 1, Grundlehren der Mathematik, 166. - Berlin, Springer Verlag, 1971. | Zbl

[12] Grothendieck (A.), Dieudonné (J.). - Élements de géométrie algébrique 2, Étude globale de quelques classes de morphismes, Publ. Math. I.H.E.S., 8. - Paris, 1960. | Numdam | Zbl

[13] Hartshorne (R.). - Algebraic geometry, Graduate Texts in Mathematics, 52. - Berlin, Springer Verlag, 1977. | MR | Zbl

[14] Hartshorne (R.). - Residues and Duality, Lecture notes in Mathematics, 20. - Berlin, Springer Verlag, 1966. | MR | Zbl

[15] Jimbo (M.), Miwa (T.). - Solitons and Infinite Dimensional Lie Algebras, Publ. R.I.M.S., Kyoto University, t. 19, 1983, p. 943-1001. | MR | Zbl

[16] Kawamoto (N.), Namikawa (Y.), Tsuchiya (A.), Yamada (Y.). - Geometric Realization of Conformal Field Theory on Riemann Surfaces, Comm.Math.Phys., t. 247, 1988, p. 247-308. | MR | Zbl

[17] Kempf (G.). - Abelian Integrals, Monografias de Instituto de Mathematicas, 13. - Mexico, Universitad Nacional autonoma de Mexico, 1984. | MR | Zbl

[18] Kempf (G.). - Fay's trisecant formula, Algebraic Geometry and Complex Analysis, [Proceedings, Patzcuaro 1987], Lecture Notes in Mathematics, 1414. - Berlin, Springer Verlag, 1989.

[19] Knudsen (F.), Mumford (D.). - The Projectivity of the Moduli space of Stable Curves, I. Preliminary on “det” and “Div”, Math. Scand., t. 39, 1976, p. 19-55. | MR | Zbl

[20] Knutson (D.). - ΋-Rings and the Representation Theory of the Symmetric group, Lecture Notes in Mathematics, 308. - Berlin Springer Verlag, 1973. | MR | Zbl

[21] Moret-Bailly (L.). - Métriques permises, [Szpiro, Séminaire sur les pinceaux arithmétiques, la conjecture de Mordell], Paris, Astérisque, t. 127, 1985, p. 29-87. | Numdam | MR

[22] Mumford (D.). - Theta Characteristics of an Algebraic Curve, Ann. E.N.S., 4ème série, t. 4, 1971, p. 181-192. | Numdam | MR | Zbl

[23] Mumford (D.). - Tata lectures on Theta I, II, Progress in Mathematics, 28, 43. - Boston, Birkhauser, 1984. | Zbl

[24] Mumford (D.). - Abelian Varieties, Tata Institute of Fundamental Research Studies in Mathematics, 4. - London, Oxford University Press, 1970. | MR | Zbl

[25] Mumford (D.). - Geometric Invariant Theory, Ergebnisse der Mathematik, 34. - Berlin, Springer Verlag, 1965. | MR | Zbl

[26] Segal (G.), Wilson (G.). - Loop Groups and Equations of KDV type, Publ. Math. I.H.E.S., t. 61, 1985, p. 5-65. | Numdam | MR | Zbl

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