Coleman's $\mathcal{L}$-invariant and families of modular forms

Coleman's

ℒ

-invariant and families of modular forms

Stevens, Glenn

Représentations

p

-adiques de groupes

p

-adiques III : méthodes globales et géométriques, Astérisque, no. 331 (2010), pp. 1-12

MR Zbl | 3 citations dans Numdam

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     author = {Stevens, Glenn},
     title = {Coleman's $\mathcal{L}$-invariant and families of modular forms},
     booktitle = {Repr\'esentations $p$-adiques de groupes $p$-adiques III : m\'ethodes globales et g\'eom\'etriques},
     series = {Ast\'erisque},
     pages = {1--12},
     year = {2010},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {331},
     mrnumber = {2667884},
     zbl = {1233.11075},
     language = {en},
     url = {https://www.numdam.org/item/AST_2010__331__1_0/}
}

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Stevens, Glenn. Coleman's $\mathcal{L}$-invariant and families of modular forms, dans Représentations $p$-adiques de groupes $p$-adiques III : méthodes globales et géométriques, Astérisque, no. 331 (2010), pp. 1-12. https://www.numdam.org/item/AST_2010__331__1_0/

Bibliographie
Cité par

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[2] R. F. Coleman - "A $p$ -adic Shimura isomorphism and $p$ -adic periods of modular forms", in $p$ -adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), Contemp. Math., vol. 165, Amer. Math. Soc, 1994, p. 21-51. | MR | Zbl | DOI

[3] R. F. Coleman - "Classical and overconvergent modular forms", Invent. Math. 124 (1996), p. 215-241. | MR | Zbl | DOI

[4] R. F. Coleman - " $p$ -adic Banach spaces and families of modular forms", Invent. Math.127 (1997), p. 417-479. | Zbl | MR | DOI

[5] R. F. Coleman & A. Iovita - "Hidden structures on semistable curves", preprint, 2007.

[6] R. F. Coleman, G. Stevens & J. T. Teitelbaum - "Numerical experiments on families of $p$ -adic modular forms", in Computational perspectives on number theory (Chicago, IL, 1995), AMS/IP Stud. Adv. Math., vol. 7, Amer. Math. Soc. 1998, p. 143-158. | MR | Zbl | DOI

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[10] P. Colmez - "Invariants $ℒ$ et dérivées de valeurs propres de Frobenius", this volume. | Zbl | Numdam

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[12] R. Greenberg & G. Stevens "On the conjecture of Mazur, Tate, and Teitelbaum", in $p$ -adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), Contemp. Math., vol. 165, Amer. Math. Soc. 1994, p. 183-211. | MR | Zbl | DOI

[13] K. Kato, M. Kurihara & T. Tsuji - "Lectures at the Émile Borel center", first semester 1997.

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[16] B. Mazur, J. Tate & J. T. Teitelbaum - "On $p$ -adic analogues of the conjectures of Birch and Swinnerton-Dyer", Invent. Math. 84 (1986), p. 1-48. | MR | Zbl | EuDML | DOI

[17] G. Stevens - "Lectures at the Émile Borel center", first semester 2000.

[18] J. T. Teitelbaum - "Values of $p$ -adic $L$ -functions and a $p$ -adic Poisson kernel", Invent. Math. 101 (1990), p. 395-410. | MR | Zbl | EuDML | DOI