p-adic deformations of Saito-Kurokawa lifts

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Let f be a cuspidal eigenform of weight 2k - 2 ≥ 2 and level 1. Suppose p is an ordinary prime for f and Vf is the p-adic representation of weight 2k - 3 associated to f. We show that if the zeta function of f vanishes at s = k - 1 to odd order, then the Selmer group Hf1 (ℚ Vf (k - 1)) is infinite.

Original languageEnglish (US)
Pages (from-to)581-586
Number of pages6
JournalComptes Rendus Mathematique
Issue number7
StatePublished - Oct 1 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


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