| |
Table des matières de ce fascicule | Article précédent | Article suivant
Bost, Jean-Benoît
Théorie de l'intersection et théorème de Riemann-Roch arithmétiques. Séminaire Bourbaki, 33 (1990-1991), Exposé No. 731, 46 p.
Texte intégral djvu | pdf | Analyses MR 1157838 | Zbl 0780.14013 | 3 citations dans Numdam
URL stable: http://www.numdam.org/item?id=SB_1990-1991__33__43_0
[A1] S.J. Arakelov - Intersection theory for divisors on an arithmetic surface, Math. U.S.S.R. Izv. 8, 1974, 1167-1189. MR 472815 | Zbl 0355.14002
[A2] S.J. Arakelov - Theory of intersection on an arithmetic surface, Proc. Int. Cong. of Math., Vancouver, vol. 1, 1978, 405-408. MR 466150 | Zbl 0351.14003
[Be1] A.A. Beilinson - Higher regulators and values of L-functions, J. Soviet Math. 30,1985, 2036-2070. MR 760999 | Zbl 0588.14013
[Be2] A.A. Beilinson - Height pairings between algebraic cycles, Contemp. Math. 67, 1-24. MR 902590 | Zbl 0624.14005
[Bi1] J.-M. Bismut - Superconnections currents and complex immersions, Inventiones Math. 99, 1990, 59-113. MR 1029391 | Zbl 0696.58006
[Bi2] J.-M. Bismut - Koszul complexes, harmonic oscillators and the Todd class, Journal of the A.M.S. 3, 1990, 159-256. MR 1017783 | Zbl 0702.58071
[BGS1] J.-M. Bismut, H. Gillet et C. Soulé - Analytic torsion and holomorphic determinant bundles. I. Bott-Chern forms and analytic torsions ; II Direct images and Bott-Chern forms ; III Quillen metrics on holomorphic determinants, Commun. Math. Phys. 115, 1988, 49-78, 79-126, 301-351.
Article | Zbl 0651.32017
[BGS2] J.-M. Bismut, H. Gillet et C. Soulé - Complex immersions and Arakelov geometry, Grothendieck Festschrift, Birkhäuser, 1990 MR 1086887 | Zbl 0744.14015
[BGS3] J.-M. Bismut, H. Gillet et C. Soulé - Bott-Chern currents and complex immersions, Duke Math. J. 60, 1990, 255-284.
Article | MR 1047123 | Zbl 0697.58005
[BL1] J.-M. Bismut et G. Lebeau - Immersions complexes et métriques de Quillen, Comptes rendus Acad. Sci. Paris 309, Série I, 1989, 487- 491. MR 1055464 | Zbl 0681.53034
[BL2] J.-M. Bismut et G. Lebeau - Complex immersions and Quillen metrics, Preprint, Orsay, 1990, 386 p. MR 1188532
[BV] J.-M. Bismut et E. Vasserot - The asymptotic of the Ray-Singer analytic torsion associated with high powers of a positive line bundle, Commun. Math. Phys. 125, 1989, 355-367.
Article | MR 1016875 | Zbl 0687.32023
[B1] S. Bloch - Height pairings for algebraic cycles, Proc. Luminy conference on algebraic K-theory, J. Pure Appl. Algebra 34, 1984, 119-145. MR 772054 | Zbl 0577.14004
[BC] R. Bott et S.S. Chern - Hermitian vector bundles and the equidis-
tribution of zeroes of their holomorphic sections, Acta Math. 114, 1968, 71-112.
[De] P. Deligne - Le déterminant de la cohomologie in Current trends in arithmetical algebraic geometry (K. Ribet ed.), Contemporary Math. 67, 1987, 93-177. MR 902592 | Zbl 0629.14008
[Do] S. Donaldson - Anti-self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. 50, 1986, 1-26. MR 765366 | Zbl 0529.53018
[E1] R. Elkik - Fibrés d'intersection et intégrales de classes de Chern, Ann. Sci. École Norm. Sup. 22, 4ème série, 1989, 195-226.
Numdam | MR 1005159 | Zbl 0701.14003
[E2] R. Elkik - Métriques sur les fibrés d'intersection, Duke Math. J. 61, 1990, 303-328.
Article | MR 1068389 | Zbl 0706.14008
[Fa1] G. Faltings - Calculus on arithmetic surfaces, Annals of Math. 119, 1984, 387-424. MR 740897 | Zbl 0559.14005
[Fa2] G. Faltings - Diophantine approximation on Abelian varieties, prepint, 1989.
[Fu] W. Fulton - Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge, Band 2. Springer-Verlag, Berlin-Heidelberg-New York, 1984. MR 732620 | Zbl 0885.14002
[G1] H. Gillet - Riemann-Roch theorems for higher algebraic K-theory, Adv. in Math. 40, 1981, 203-289. MR 624666 | Zbl 0478.14010
[G2] H. Gillet - An introduction to higher dimensional Arakelov-theory, Contemporary Mathematics, 67, 209-228. MR 902594 | Zbl 0621.14004
[GS1] H. Gillet et C. Soulé - Intersection sur les variétés d'Arakelov, Comptes rendus Acad. Sci. Paris, 299, Série I, 1984, 563-566. MR 770447 | Zbl 0607.14003
[GS2] H. Gillet et C. Soulé - Classes caractéristiques sur les variétés d'Arakelov, Comptes rendus Acad. Sci. Paris, 301, Série I, 1985, 439-442. MR 809851 | Zbl 0613.14007
[GS3] H. Gillet et C. Soulé - Direct images of Hermitian holomorphic bundles, Bull. A.M.S. 15, 1986, 209-212.
Article | MR 854556 | Zbl 0618.58035
[GS4] H. Gillet et C. Soulé - Intersection theory using Adams operations, Inventiones Math. 90, 1987, 243-277. MR 910201 | Zbl 0632.14009
[GS5] H. Gillet et C. Soulé - Arithmetic intersection theory, preprint I.H.E.S., 1988, à paraître aux Publications Mathématiques de l'I.H.E.S.
Numdam | MR 1087394 | Zbl 0741.14012
[GS6] H. Gillet et C. Soulé - Characteristic classes for algebraic vector bundles with Hermitian metric, I, II, Annals of Math. 131, 1990, 163- 203. MR 1038362 | Zbl 0715.14018
[GS7] H. Gillet et C. Soulé - Analytic torsion and the arithmetic Todd germs, preprint I.H.E.S., 1988, à paraître dans Topology. Zbl 0787.14005
[GS8] H. Gillet et C. Soulé - Differential characters and arithmetic intersection theory in " Algebraic K-theory : connections with geometry and topology", edited by J.F. Jardine and V.P. Snaith, NATO ASI Series C, Vol. 279, Kluwer Academic Publishers, 1989, 29-68. MR 1045844 | Zbl 0719.14003
[GS9] H. Gillet et C. Soulé - Amplitude arithmétique, Comptes Rendus Acad. Sci. Paris 307, 1988, 887-890. MR 974432 | Zbl 0676.14007
[GS10] H. Gillet et C. Soulé - Un théorème de Riemann-Roch-Grothendieck arithmétique, Comptes Rendus Acad. Sci. Paris 309, Série I, 1989, 929-932. MR 1055224 | Zbl 0732.14002
[GH] P. Griffiths et J. Harris - Principles of algebraic geometry, John Wiley and Sons, 1978. MR 507725 | Zbl 0836.14001
[KM] F. Knudsen et D. Mumford - The projectivity of the moduli space of stable curves, I, Preliminaries on "det" and "div", Math. Scand. 39, 1976, 19-55. MR 437541 | Zbl 0343.14008
[La1] S. Lang - Fundamentals of diophantine geometry, Springer-Verlag, New York-Heidelberg-Berlin, 1983. MR 715605 | Zbl 0528.14013
[La2] S. Lang - Introduction to Arakelov theory, Springer-Verlag, New York- Berlin-Heidelberg, 1988. MR 969124
[M] Yu.I. Manin - New dimensions in geometry in Arbeitstagung Bonn 1984, Ed. by F. Hirzebruch, J. Schwermer and S. Suter, Springer Lect. Notes in Math. n° 1111, 59-101. MR 797416 | Zbl 0579.14002
[P] A.N. Parsin - Modular correspondences, heights and isogenies of Abelian varieties, Trudy Mat. Inst. Steklov 132, 1973 = Proc. Steklov Inst. Mat. 132, 1973, 243-270. MR 345976 | Zbl 0305.14015
[Ph] P. Philippon - Sur des hauteurs alternatives, preprint, 1989.
[Q] D. Quillen - Determinants of Cauchy-Riemann operators over a Riemann surface, Funct. Anal. Appl. 14, 1985, 31-34. Zbl 0603.32016
[RS] D.B. Ray et I.M. Singer - Analytic torsion for complex manifolds, Annals of Math. 98, 1973, 154-177. MR 383463 | Zbl 0267.32014
[Se] J.-P. Serre - Algèbre locale, multiplicités, troisième édition, Lecture Notes in Math. 11, Springer-Verlag, Berlin, 1975. MR 201468 | Zbl 0296.13018
[St] W. Stoll - About the value distribution of holomorphic maps into projective space, Acta Math. 123, 1969, 83-114. MR 259173 | Zbl 0177.11302
[Sz] L. Szpiro - Séminaire sur les pinceaux arithmétiques : la conjecture de Mordell, Astérisque 127, 1985. MR 801916 | Zbl 0588.14028
[S1] C. Soulé - Opérations en K-théorie algébrique, Can. J. Math. 37, 1985, 488-550. MR 787114 | Zbl 0575.14015
[S2] C. Soulé - Théorie de Nevanlinna et théorie d'Arakelov,Astérisque 183, 1990, 127-135. MR 1065158 | Zbl 0722.14011
[S3] C. Soulé - Géométrie d'Arakelov et théorie des nombres transcendants, preprint I.H.E.S., 1989.
[V] P. Vojta - An extension of the Thue-Siegel-Dyson-Gel'fond theorem, preprint, 1989.
[W1] A. Weil - Sur l'analogie entre les corps de nombres algébriques et les corps de fonctions algébriques, Revue scientifique 77, 1939, 104-106. (= Œuvres scientifiques, Springer-Verlag, New York-Heidelberg-Berlin, volume I, 1980, [1939a], 236-240). JFM 65.1140.01
[W2] A. Weil - Une lettre et un extrait de lettre à Simone Weil, [1940a] in Œuvres scientifiques, Springer-Verlag, New York-Heidelberg-Berlin, volume I, 1980, 244-255.
[W3] A. Weil - Number theory and algebraic geometry, Proc. Intern. Math. Congress, Cambridge, Mass., vol. II, 90-10 (= Œuvres scientifiques, Springer-Verlag, New York-Heidelberg-Berlin, volume I, 1980, [1950b], 442-452). Zbl 0049.02802
[W4] A. Weil - Elliptic functions according to Eisenstein and Kronecker, Ergebnisse der Mathematik und ihrer Grenzgebiete 88, Springer-Verlag, Berlin-Heidelberg-New York, 1976. MR 562289 | Zbl 0318.33004
[Z] S. Zhang - Ample Hermitian line bundles on arithmetic surfaces, Preprint, october 1989 and may 1990.
[F3] G. Faltings - Lectures on the arithmetic Riemann-Roch theorem, notes by S. Zhang, preprint, 1991. MR 1158661 | Zbl 0744.14016
[GS11] H. Gillet et C. Soulé - An arithmetic Riemann-Roch theorem, preprint IHES, 1991. MR 1189489
|
