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Bost, J.-B.
Potential theory and Lefschetz theorems for arithmetic surfaces. Annales scientifiques de l'École Normale Supérieure, Sér. 4, 32 no. 2 (1999), p. 241-312
Full text djvu | pdf | Reviews MR 2000c:14033 | Zbl 0931.14014 | 1 citation in Numdam
stable URL: http://www.numdam.org/item?id=ASENS_1999_4_32_2_241_0
Bibliography
[B] E. BOMBIERI, Canonical models of surfaces of general type, Publ. Math. IHES, Vol. 42,
Numdam | MR 47 #6710 | Zbl 0259.14005
[B-G-S] J.-B. BOST, H. GILLET and C. SOULÉ, Heights of projective varieties and positive Green forms, J. Amer. Math. Soc., Vol. 7,
[Br] M. BRELOT, Etude et extensions du principe de Dirichlet, Ann. Inst. Fourier Grenoble, Vol. 5,
Numdam | MR 17,603f | Zbl 0067.33002
[C] T. CHINBURG, Capacity theory on varieties, Compositio Math., Vol. 80,
Numdam | MR 93d:14039 | Zbl 0761.11028
[Ch] G. CHOQUET, Capacitabilité en potentiel logarithmique, Acad. Roy. Belg. Bull. Cl. Sci., (5), Vol. 44,
[C-C] R. COLEMAN and W. MCCALLUM, Stable reduction of Fermat curves and local components of Jacobi sum Hecke characters, J. reine angew. Math., Vol. 385,
[D1] P. DELIGNE, Intersection sur les surfaces régulières, Exposé in SGA 7 II, Groupe de Monodromie en Géometrie Algébrique, Lecture Notes in Mathematics, Vol. 340, Springer-Verlag, Berlin,
[D2] P. DELIGNE, Preuve des conjectures de Tate et de Shafarevitch (d'après G. Faltings), in Séminaire Bourbaki
Numdam | MR 87c:11026 | Zbl 0591.14026
[D3] P. DELIGNE, Le déterminant de la cohomologie, Contemporary Mathematics, Vol. 67,
[De1] J. DENY, Les potentiels d'énergie finie, Acta Math., Vol. 82,
[De2] J. DENY, Méthodes hilbertiennes en théorie du potentiel, in Potential Theory (C.I.M.E., I Ciclo, Stresa,
[De-L] J. DENY and J.L. LIONS, Les espaces du type de Beppo Levi, Ann. Inst. Fourier, Vol. 5,
Numdam | MR 17,646a | Zbl 0065.09903
[Do] J.L. DOOB, Potential theory and its probabilistic counterpart, Springer Verlag, New York, Heidelberg, Berlin,
[Fa] G. FALTINGS, Calculus on arithmetic surfaces, Ann. of Math., Vol. 119,
[F1] A. FRANCHETTA, Sulle curve reducibili appartenenti ad una superficie algebrica, Univ. Roma. Ist. Naz. Alta Mat. Rend. Mat. e Appl., (5), Vol. 8,
[F2] A. FRANCHETTA, Sul sistema aggiunto ad una curva riducibile, Atti. Acad. Naz. Lincei Rend. Cl. Sci. Mat. Nat., (8), Vol. 6,
[Fu] W. FULTON, On the topology of algebraic varieties, Proc. of Symposia in Pure Mathematics, Vol. 46, Part 1,
[Ga] C. GASBARRI, Le théorème d'annulation de Serre sur les variétés arithmétiques, J. of Algebraic Geometry, Vol. 5,
[G-S1] H. GILLET and C. SOULÉ, Arithmetic intersection theory, Publ. Math. I.H.E.S., Vol. 72,
Numdam | MR 92d:14016 | Zbl 0741.14012
[G-S2] H. GILLET and C. SOULÉ, Arithmetic analogs of the standard conjectures, in Motives (Seattle
[Gr1] A. GROTHENDIECK, Revêtements étales et groupe fondamental (SGA1), Lecture Notes in Mathematics, Vol. 224, Springer-Verlag, Berlin-Heidelberg-New York,
[Gr2] A. GROTHENDIECK, Théorèmes de Lefschetz locaux et globaux (SGA2), North Holland Publ. Co., Amsterdam,
[H] D. HARBATER, Galois covers of an arithmetic surface, Amer. J. of Math., Vol. 110,
[Ha] R. HARTSHORNE, Algebraic geometry, Springer-Verlag, New York, Heidelberg, Berlin,
[H-M] H. HIRONAKA and H. MATSUMURA, Formal functions and formal embeddings, J. Math. Soc. Japan, Vol. 20,
Article | MR 40 #4274 | Zbl 0157.27701
[Hr] D. HRILJAC, Heights and Arakelov intersection theory, Ann. J. of Math., Vol. 107,
[I] Y. IHARA, Horizontal divisors on arithmetic surfaces associated with Belyĭ uniformizations, in The Grothendieck theory of dessins d'enfants (Luminy
[L] S. LEFSCHETZ, L'analysis situs et la géométrie algébrique, Paris, Gauthier-Villars,
[LM] R. LEVIN-MÉNÉGAUX, Un théorème d'annulation en caractéristique positive, in Séminaire sur les faisceaux de courbe de genre au moins deux (L. Szpiro ed.), Astérisque, Vol. 86,
[MB1] L. MORET-BAILLY, Groupes de Picard et problèmes de Skolem I, Ann. Sc. Ecole Normale Supérieure, Vol. 22,
Numdam | MR 90i:11065 | Zbl 0704.14014
[MB2] L. MORET-BAILLY, Métriques permises, Astérisque, Vol. 127,
[M] D. MUMFORD, The topology of normal singularities of an algebraic surface and a criterion for simplicity, Publ. Math. IHES, Vol. 9,
Numdam | MR 27 #3643 | Zbl 0108.16801
[R] C.P. RAMANUJAM, Remarks on the Kodaira vanishing theorem, J. Indian Math. Society, Vol. 36,
[Ra] T. RANSFORD, Potential theory in the complex plane, Cambridge University Press, Cambridge,
[Ray] (Mme) M. RAYNAUD, Théorèmes de Lefschetz en cohomologie cohérente et en cohomologie étale, Bull. Soc. Math. France, Mémoire n° 41,
Numdam | MR 53 #10804 | Zbl 0323.14007
[Ru1] R. RUMELY, Capacity theory on algebraic curves, Lecture Notes in Mathematics, Vol. 1378, Springer-Verlag, Berlin,
[Ru2] R. RUMELY, An intersection pairing for curves, with analytic contributions from nonarchimedean places, Canadian Mathematical Society Conference Proceedings, Vol. 15,
[So] C. SOULÉ, A vanishing theorem on arithmetic surfaces, Inventiones Math., Vol. 116,
[Sz] L. SZPIRO, Sur le théorème de rigidité de Parsin et Arakelov, Journées de Géométrie Algébrique de Rennes, Astérisque, Vol. 64,
[T] M. TSUJI, Potential theory in modern function theory, Maruzen, Tokyo,
[Z1] O. ZARISKI, Theory and applications of holomorphic functions on algebraic varieties over arbitrary ground fields, Memories of Amer. Math. Soc., New York,
[Z2] O. ZARISKI, Introduction to the problem of minimal models in the theory of algebraic surfaces, Publ. Math. Soc. of Japan, Vol. 4,
[Z3] O. ZARISKI, The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface, Ann. Math., Vol. 76,
[Zh] S. ZHANG, Positive line bundles on arithmetic surfaces, Ann. Math., Vol. 136,