@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}, pages = {553--597}, publisher = {Elsevier}, volume = {Ser. 4, 38}, number = {4}, year = {2005}, doi = {10.1016/j.ansens.2005.05.002}, zbl = {1087.14026}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.ansens.2005.05.002/} }
TY - JOUR AU - Deninger, Christopher AU - Werner, Annette TI - Vector bundles on $p$-adic curves and parallel transport JO - Annales scientifiques de l'École Normale Supérieure PY - 2005 SP - 553 EP - 597 VL - 38 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.ansens.2005.05.002/ DO - 10.1016/j.ansens.2005.05.002 LA - en ID - ASENS_2005_4_38_4_553_0 ER -
%0 Journal Article %A Deninger, Christopher %A Werner, Annette %T Vector bundles on $p$-adic curves and parallel transport %J Annales scientifiques de l'École Normale Supérieure %D 2005 %P 553-597 %V 38 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.ansens.2005.05.002/ %R 10.1016/j.ansens.2005.05.002 %G en %F 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, Série 4, Tome 38 (2005) no. 4, pp. 553-597. doi : 10.1016/j.ansens.2005.05.002. http://www.numdam.org/articles/10.1016/j.ansens.2005.05.002/
[1] Vector bundles over an elliptic curve, Proc. London Math. Soc. (3) 7 (1957) 414-452. | MR | Zbl
,[2] Berkovich V., Integration of one forms on p-adic analytic spaces, Preprint, 2004. | MR | Zbl
[3] Néron Models, Springer, Berlin, 1990. | MR | Zbl
, , ,[4] Commutative Rings Whose Finitely Generated Modules Decompose, Lecture Notes in Math., vol. 723, Springer, Berlin, 1979. | MR | Zbl
,[5] There is no Bogomolov type restriction theorem for strong semistability in positive characteristic, Proc. Amer. Math. Soc. 133 (2005) 1941-1947. | MR | Zbl
,[6] Reciprocity laws on curves, Comp. Math. 72 (1989) 205-235. | EuDML | Numdam | MR | Zbl
,[7] The irreducibility of the space of curves of given genus, Publ. Math. IHÉS, vol. 36, 1969, pp. 75-109. | EuDML | Numdam | MR | Zbl
, ,[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
[10] Eliminating wild ramification, Invent. Math. 19 (1973) 235-249. | MR | Zbl
,[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 | Zbl
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 | Zbl
et al. ,[17] Semistable vector bundles on Mumford curves, Invent. Math. 74 (1983) 199-212. | MR | Zbl
,[18] Faltings G., A p-adic Simpson correspondence, Notes, 2003.
[19] Cohomologie non abélienne, Springer, Berlin, 1971. | MR | Zbl
,[20] Residues and Duality, Lecture Notes in Math., vol. 20, Springer, Berlin, 1966. | MR | Zbl
,[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 | Zbl
, ,[23] Curves over discrete valuation rings, Amer. J. Math. 90 (1968) 380-405. | MR | Zbl
,[24] Desingularization of two-dimensional schemes, Ann. of Math. 107 (1978) 151-207. | MR | Zbl
,[25] Algebraic Geometry and Arithmetic Curves, Oxford University Press, Oxford, 2002. | MR | Zbl
,[26] Liu Q., Stable reduction of finite covers of curves, Compositio Math., in press. | Zbl
[27] Abelian Varieties, Oxford University Press, Oxford, 1970. | MR | Zbl
,[28] Stable and unitary vector bundles on a compact Riemann surface, Ann. of Math. 82 (1965) 540-567. | MR | Zbl
, ,[29] Spécialisation du foncteur de Picard, Publ. Math. IHÉS, vol. 38, 1970, pp. 27-76. | Numdam | MR | Zbl
,[30] Critères de platitude et de projectivité, Invent. Math. 13 (1971) 1-89. | MR | Zbl
, ,[31] Fibrés vectoriels sur les courbes algébriques, Astérisque, vol. 96, Soc. Math. France, Paris, 1982. | Numdam | MR | Zbl
,[32] Tate, J., p-divisible groups, in: Proceedings of a Conference on Local Fields, Driebergen, 1966, pp. 158-183. | MR | Zbl
[33] Hodge structure on the fundamental group and its application to p-adic integration, Moscow Math. J. 3 (2003) 205-247. | MR | Zbl
,[34] Généralisation des fonctions abéliennes, J. Math. Pures Appl. (IX) 17 (1938) 47-87. | JFM
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