Hida families and rational points on elliptic curves

By M. Bertolini, Henri Darmon. 2007

86 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/bd94bd58ba707d219cc1fc7861b394f58727ee9d

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Citations in the corpus

• Massey products for elliptic curves of rank 1 (2009, background): “In that case, it will be natural to take y to be the trace of a Heegner point coming from a Shimura curve uniformization, and some relationship between the various quantities and L-functions should emerge, such as (logα y) 2 = (1/2)(d(2)/dk(2))Lp(E, k, k/2)k=2, which appears in [1].”
• The p-adic Gross-Zagier formula for elliptic curves at supersingular primes (2013, unknown): “今回とは異なる設定のBertollini‐Darmon らのp‐進Gross‐Zagier 公式 (例えば [2]) は,(bad) split multiplicative reduction をもつ素数を扱っているが,強 いBSD 予想へ応用できるのかは不明である.”