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1 results

  • Iwasawa theory for modular forms at supersingular primes

  • Part of
  • Antonio Lei
  • Journal:
    Compositio Mathematica / Volume 147 / Issue 3 / May 2011
    Published online by Cambridge University Press:
    07 February 2011, pp. 803-838
    Print publication:
    May 2011
    • Article
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  • We generalise works of Kobayashi to give a formulation of the Iwasawa main conjecture for modular forms at supersingular primes. In particular, we give analogous definitions of the plus and minus Coleman maps for normalised new forms of arbitrary weights and relate Pollack’s p-adic L-functions to the plus and minus Selmer groups. In addition, by generalising works of Pollack and Rubin on CM elliptic curves, we prove the ‘main conjecture’ for CM modular forms.