@incollection{AST_2010__331__13_0, author = {Colmez, Pierre}, title = {Invariants $\mathcal{L}$ et d\'eriv\'ees de valeurs propres de {Frobenius}}, booktitle = {Repr\'esentations <span class="mathjax-formula">$p$</span>-adiques de groupes <span class="mathjax-formula">$p$</span>-adiques III : m\'ethodes globales et g\'eom\'etriques}, author = {Collectif}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {331}, year = {2010}, zbl = {1251.11080}, mrnumber = {2667885}, language = {fr}, url = {http://archive.numdam.org/item/AST_2010__331__13_0/} }
TY - CHAP AU - Colmez, Pierre TI - Invariants $\mathcal{L}$ et dérivées de valeurs propres de Frobenius BT - Représentations <span class="mathjax-formula">$p$</span>-adiques de groupes <span class="mathjax-formula">$p$</span>-adiques III : méthodes globales et géométriques AU - Collectif T3 - Astérisque PY - 2010 DA - 2010/// IS - 331 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2010__331__13_0/ UR - https://zbmath.org/?q=an%3A1251.11080 UR - https://www.ams.org/mathscinet-getitem?mr=2667885 LA - fr ID - AST_2010__331__13_0 ER -
Colmez, Pierre. Invariants $\mathcal{L}$ et dérivées de valeurs propres de Frobenius, dans Représentations $p$-adiques de groupes $p$-adiques III : méthodes globales et géométriques, Astérisque, no. 331 (2010), 16 p. http://archive.numdam.org/item/AST_2010__331__13_0/
[1] -functions and Tamagawa numbers of motives, in The Grothendieck Festschrift, Vol I, Progr. Math., vol. 86, Birkhäuser, 1990, p. 333-400. | Zbl 0768.14001
& -[2] Série spéciale -adique et cohomologie étale complétée, ce volume. | Zbl 1246.11106
-[3] A -adic Shimura isomorphism and -adic periods of modular forms, in -adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), Contemp. Math., vol. 165, Amer. Math. Soc. 1994, p. 21-51. | Article | MR 1279600 | Zbl 0838.11033
-[4] -adic Banach spaces and families of modular forms, Invent. Math. 127 (1997), p. 417-479. | Article | Zbl 0918.11026
-[5] Hidden structures on semi-stable curves, ce volume. | Zbl 1251.11047
& -[6] The eigencurve, in Galois representations in arithmetic algebraic geometry (Durham, 1996), London Math. Soc. Lecture Note Ser., vol. 254, Cambridge Univ. Press, 1998, p. 1-113. | MR 1696469 | Zbl 0932.11030
& -[7] Espaces de Banach de dimension finie, J. Inst. Math. Jussieu 1 (2002), p. 331-439. | Article | MR 1956055 | Zbl 1044.11102
-[8] La conjecture de Birch et Swinnerton-Dyer -adique, Astérisque 294 (2004), p. 251-319. | Numdam | MR 2111647 | Zbl 1094.11025
-[9] Zéros supplémentaires de fonctions -adiques de formes modulaires, in Algebra and number theory, Hindustan Book Agency, 2005, p. 193-210. | Article | MR 2193353 | Zbl 1082.11027
-[10] Série principale unitaire pour et représentations triangulines de dimension , prépublication http://people.math.jussieu.fr/~colmez/triangulines.pdf, 2007.
-[11] Représentations triangulines de dimension , Astérisque 319 (2008), p. 213-258. | MR 2493219 | Zbl 1168.11022
-[12] La série principale unitaire de , Astérisque 330 (2010), p. 213-262. | Zbl 1242.11095
-[13] Construction des représentations -adiques semi-stables, Invent. Math. 140 (2000), p. 1-43. | Article | MR 1779803 | Zbl 1010.14004
& -[14] Exposé à Orsay, 1998.
-[15] -adic -functions and -adic periods of modular forms, Invent. Math. 111 (1993) , p. 407-447. | Article | EuDML 144084 | MR 1198816 | Zbl 0778.11034
& -[16] Generalized explicit reciprocity laws, Adv. Stud. Contemp. Math. (Pusan) 1 (1999), p. 57-126. | MR 1701912 | Zbl 1024.11029
-[17] -adic Hodge theory and values of zeta functions of modular forms, Astérisque 295 (2004), p. 117-290. | Numdam | MR 2104361 | Zbl 1142.11336
-[18] Overconvergent modular forms and the Fontaine-Mazur conjecture, Invent. Math. 153 (2003), p. 373-454. | Article | MR 1992017 | Zbl 1045.11029
-[19] On monodromy invariants occurring in global arithmetic, and Fontaine's theory, in -adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), Contemp. Math., vol. 165, Amer. Math. Soc. 1994, p. 1-20. | Article | MR 1279599 | Zbl 0846.11039
-[20] On -adic analogues of the conjectures of Birch and Swinnerton-Dyer, Invent. Math. 84 (1986) , p. 1-48. | Article | EuDML 143332 | MR 830037 | Zbl 0699.14028
, & -[21] Théorie d'Iwasawa des représentations -adiques sur un corps local, Invent. Math. 115 (1994), p. 81-161. | Article | MR 1248080 | Zbl 0838.11071
-[22] Quelques remarques sur la théorie d'Iwasawa des courbes elliptiques, in Number theory for the millennium, III (Urbana, IL, 2000), A K Peters, 2002, p. 119-147. | MR 1956272 | Zbl 1047.11056
-[23] Modular forms and -adic Hodge theory, Invent. Math. 129 (1997) , p. 607-620. | Article | MR 1465337 | Zbl 0877.11034
-[24] Continuous cohomology and -adic Galois representations, Invent. Math. 62 (1980/81), p. 89-116. | Article | EuDML 142768 | MR 595584 | Zbl 0463.12005
-[25] An infinite-dimensional Hodge-Tate theory, Bull. Soc. Math. France 121 (1993) , p. 13-34. | Article | EuDML 87659 | Numdam | MR 1207243 | Zbl 0786.11067
-[26] Coleman's -invariant and families of modular forms, ce volume.
-[27] -divisible groups, in Proc. Conf. Local Fields (Driebergen, 1966), Springer, 1967, p. 158-183. | Article | MR 231827 | Zbl 0157.27601
-