Tamely ramified Hida theory

Assaf Goldberger[1]; Ehud de Shalit[2]

  • [1] University of Massachussetts, Department of Mathematics, Amherst MA (USA)
  • [2] Hebrew University, Institute of Mathematics, Giv'at-Ram 91904 Jerusalem (Israël)

Annales de l’institut Fourier (2002)

  • Volume: 52, Issue: 1, page 1-45
  • ISSN: 0373-0956

Abstract

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Let J 1 be the Jacobian of the modular curve associated with Γ 1 ( N p ) , ( p , N ) = 1 and J 0 the one associated with Γ 1 ( N ) ∩ Γ 0 ( p ) . We study J 1 [ p - 1 ] as a Hecke and Galois-module. We relate a certain matrix of p -adic periods to the infinitesimal deformation of the U p -operator.

How to cite

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Goldberger, Assaf, and Shalit, Ehud de. "Tamely ramified Hida theory." Annales de l’institut Fourier 52.1 (2002): 1-45. <http://eudml.org/doc/115973>.

@article{Goldberger2002,
abstract = {Let $J_1$ be the Jacobian of the modular curve associated with $\Gamma _1(Np),\; (p,N)=1$ and $J_0$ the one associated with $\Gamma _1(N)\cap \Gamma _0(p)$. We study $J_1[p- 1]$ as a Hecke and Galois-module. We relate a certain matrix of $p$-adic periods to the infinitesimal deformation of the $U_p$-operator.},
affiliation = {University of Massachussetts, Department of Mathematics, Amherst MA (USA); Hebrew University, Institute of Mathematics, Giv'at-Ram 91904 Jerusalem (Israël)},
author = {Goldberger, Assaf, Shalit, Ehud de},
journal = {Annales de l’institut Fourier},
keywords = {modular curve; $p$-adic periods; Hecke operators; p-adic periods; Hida theory; deformation theory},
language = {eng},
number = {1},
pages = {1-45},
publisher = {Association des Annales de l'Institut Fourier},
title = {Tamely ramified Hida theory},
url = {http://eudml.org/doc/115973},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Goldberger, Assaf
AU - Shalit, Ehud de
TI - Tamely ramified Hida theory
JO - Annales de l’institut Fourier
PY - 2002
PB - Association des Annales de l'Institut Fourier
VL - 52
IS - 1
SP - 1
EP - 45
AB - Let $J_1$ be the Jacobian of the modular curve associated with $\Gamma _1(Np),\; (p,N)=1$ and $J_0$ the one associated with $\Gamma _1(N)\cap \Gamma _0(p)$. We study $J_1[p- 1]$ as a Hecke and Galois-module. We relate a certain matrix of $p$-adic periods to the infinitesimal deformation of the $U_p$-operator.
LA - eng
KW - modular curve; $p$-adic periods; Hecke operators; p-adic periods; Hida theory; deformation theory
UR - http://eudml.org/doc/115973
ER -

References

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