@article{ASENS_2005_4_38_4_553_0, author = {Deninger, Christopher and Werner, Annette}, title = {Vector bundles on $p$-adic curves and parallel transport}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {38}, year = {2005}, pages = {553-597}, doi = {10.1016/j.ansens.2005.05.002}, zbl = {1087.14026}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_2005_4_38_4_553_0} }
Deninger, Christopher; Werner, Annette. Vector bundles on $p$-adic curves and parallel transport. Annales scientifiques de l'École Normale Supérieure, Tome 38 (2005) pp. 553-597. doi : 10.1016/j.ansens.2005.05.002. http://gdmltest.u-ga.fr/item/ASENS_2005_4_38_4_553_0/
[1] Vector bundles over an elliptic curve, Proc. London Math. Soc. (3) 7 (1957) 414-452. | MR 131423 | Zbl 0084.17305
,[2] Berkovich V., Integration of one forms on p-adic analytic spaces, Preprint, 2004. | MR 2263704 | Zbl 1161.14001
[3] Néron Models, Springer, Berlin, 1990. | MR 1045822 | Zbl 0705.14001
, , ,[4] Commutative Rings Whose Finitely Generated Modules Decompose, Lecture Notes in Math., vol. 723, Springer, Berlin, 1979. | MR 539854 | Zbl 0426.13004
,[5] There is no Bogomolov type restriction theorem for strong semistability in positive characteristic, Proc. Amer. Math. Soc. 133 (2005) 1941-1947. | MR 2137859 | Zbl 1083.14050
,[6] Reciprocity laws on curves, Comp. Math. 72 (1989) 205-235. | Numdam | MR 1030142 | Zbl 0706.14013
,[7] The irreducibility of the space of curves of given genus, Publ. Math. IHÉS, vol. 36, 1969, pp. 75-109. | Numdam | MR 262240 | Zbl 0181.48803
, ,[8] Deninger C., Werner A., Vector bundles and p-adic representations I, ArXiv, NT/0309273, September 2003.
[9] Deninger, C., Werner, A., Line bundles and p-adic characters, in: G. van der Geer, B. Moonen, R. Schoof (Eds.), Number Fields and Function Fields-Two Parallel Worlds, Birkhäuser, Basel, 2005, in press. | Zbl 1100.11019
[10] Eliminating wild ramification, Invent. Math. 19 (1973) 235-249. | MR 321929 | Zbl 0254.13008
,[11] Éléments de géométrie algébrique I, Publ. Math. IHÉS, vol. 4, 1960. | Numdam
, ,[12] Éléments de géométrie algébrique II, Publ. Math. IHÉS, vol. 8, 1961. | Numdam
, ,[13] Éléments de géométrie algébrique III, Publ. Math. IHÉS, vol. 11, 1961, vol. 17, 1963. | Numdam
, ,[14] Éléments de géométrie algébrique IV, Publ. Math. IHÉS, vol. 20, 1964, vol. 24, 1965, vol. 28, 1966, vol. 32, 1967. | Numdam
, ,[15] Séminaire de géométrie algébrique du Bois Marie 1960/66, in: Revêtements étales et groupe fondamental, Lecture Notes in Math., vol. 224, Springer, Berlin, 1971. | MR 354651 | Zbl 0234.14002
et al. ,[16] Séminaire de géométrie algébrique du Bois Marie. Schémas en groupes. Tome I, Lecture Notes in Math., vol. 151, Springer, Berlin, 1970. | MR 274458 | Zbl 0207.51401
et al. ,[17] Semistable vector bundles on Mumford curves, Invent. Math. 74 (1983) 199-212. | MR 723214 | Zbl 0526.14018
,[18] Faltings G., A p-adic Simpson correspondence, Notes, 2003.
[19] Cohomologie non abélienne, Springer, Berlin, 1971. | MR 344253 | Zbl 0226.14011
,[20] Residues and Duality, Lecture Notes in Math., vol. 20, Springer, Berlin, 1966. | MR 222093 | Zbl 0212.26101
,[21] Herz G., Vector bundles on Mumford curves, PhD thesis, 2005.
[22] Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe, Math. Z. 156 (1977) 73-83. | MR 472827 | Zbl 0349.14018
, ,[23] Curves over discrete valuation rings, Amer. J. Math. 90 (1968) 380-405. | MR 230724 | Zbl 0194.22101
,[24] Desingularization of two-dimensional schemes, Ann. of Math. 107 (1978) 151-207. | MR 491722 | Zbl 0349.14004
,[25] Algebraic Geometry and Arithmetic Curves, Oxford University Press, Oxford, 2002. | MR 1917232 | Zbl 0996.14005
,[26] Liu Q., Stable reduction of finite covers of curves, Compositio Math., in press. | Zbl 1108.14020
[27] Abelian Varieties, Oxford University Press, Oxford, 1970. | MR 282985 | Zbl 0223.14022
,[28] Stable and unitary vector bundles on a compact Riemann surface, Ann. of Math. 82 (1965) 540-567. | MR 184252 | Zbl 0171.04803
, ,[29] Spécialisation du foncteur de Picard, Publ. Math. IHÉS, vol. 38, 1970, pp. 27-76. | Numdam | MR 282993 | Zbl 0207.51602
,[30] Critères de platitude et de projectivité, Invent. Math. 13 (1971) 1-89. | MR 308104 | Zbl 0227.14010
, ,[31] Fibrés vectoriels sur les courbes algébriques, Astérisque, vol. 96, Soc. Math. France, Paris, 1982. | MR 699278 | Zbl 0517.14008
,[32] Tate, J., p-divisible groups, in: Proceedings of a Conference on Local Fields, Driebergen, 1966, pp. 158-183. | MR 231827 | Zbl 0157.27601
[33] Hodge structure on the fundamental group and its application to p-adic integration, Moscow Math. J. 3 (2003) 205-247. | MR 1996809 | Zbl 1050.14013
,[34] Généralisation des fonctions abéliennes, J. Math. Pures Appl. (IX) 17 (1938) 47-87. | JFM 64.0361.02
,