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    This chapter has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Bergdall, John 2017. Paraboline variation over -adic families of -modules. Compositio Mathematica, Vol. 153, Issue. 01, p. 132.

    Choi, Suh Hyun and Kim, Byoung Du 2017. Congruences of two-variable p-adic L-functions of congruent modular forms of different weights. The Ramanujan Journal, Vol. 43, Issue. 1, p. 163.

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    Salazar, Daniel Barrera and Gao, Shan 2017. Overconvergent Eichler–Shimura isomorphisms for quaternionic modular forms over ℚ. International Journal of Number Theory, Vol. 13, Issue. 10, p. 2687.

    Hansen, David and Thorne, Jack A. 2017. On the $$\mathrm {GL}_n$$ GL n -eigenvariety and a conjecture of Venkatesh. Selecta Mathematica, Vol. 23, Issue. 2, p. 1205.

    Brown, Jim and Klosin, Krzysztof 2017. On the action of the $$U_p$$ U p operator on the local (at p) representation attached to congruence level Siegel modular forms. The Ramanujan Journal, Vol. 44, Issue. 3, p. 597.

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    Andreatta, Fabrizio Iovita, Adrian and Pilloni, Vincent 2016. The adic, cuspidal, Hilbert eigenvarieties. Research in the Mathematical Sciences, Vol. 3, Issue. 1,

    Dummit, Evan P. Hablicsek, Márton Harron, Robert Jain, Lalit Pollack, Robert and Ross, Daniel 2016. Explicit computations of Hida families via overconvergent modular symbols. Research in Number Theory, Vol. 2, Issue. 1,

    Andreatta, Fabrizio Iovita, Adrian and Pilloni, Vincent 2015. p-adic families of Siegel modular cuspforms. Annals of Mathematics, p. 623.

    Baker, Matthew Mazur, Barry and Ribet, Ken 2015. Robert F. Coleman 1954–2014. Research in the Mathematical Sciences, Vol. 2, Issue. 1,

    Roe, David 2014. The 3-adic eigencurve at the boundary of weight space. International Journal of Number Theory, Vol. 10, Issue. 07, p. 1791.

    Ramsey, Nick 2014. $$p$$ p -Adic interpolation of square roots of central $$L$$ L -values of modular forms. Mathematische Annalen, Vol. 358, Issue. 3-4, p. 1031.

    Urban, Eric 2014. Iwasawa Theory 2012. Vol. 7, Issue. , p. 401.

    BRASCA, RICCARDO 2014. QUATERNIONIC MODULAR FORMS OF ANY WEIGHT. International Journal of Number Theory, Vol. 10, Issue. 01, p. 31.

    Chenevier, Gaëtan 2013. Sur la densité des représentations cristallines de $$\text{ Gal}(\overline{\mathbb Q }_p/\mathbb Q _p)$$. Mathematische Annalen, Vol. 355, Issue. 4, p. 1469.

    Urban, Eric 2011. Eigenvarieties for reductive groups. Annals of Mathematics, Vol. 174, Issue. 3, p. 1685.

    Sasaki, Shu 2010. Analytic continuation of overconvergent Hilbert eigenforms in the totally split case. Compositio Mathematica, Vol. 146, Issue. 03, p. 541.

  • Print publication year: 1998
  • Online publication date: March 2010

1 - The Eigencurve

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Galois Representations in Arithmetic Algebraic Geometry
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