P-Adic L-Functions and P-Adic Representations

By B. Perrin-Riou. 2000

64 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/37ca035b4a165d0050c5d05410133f6f0df315d9

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Citations in the corpus

• Generalized heegner cycles and p-adic rankin L-series (2013, methodology): “Even in the 0-dimensional limit case where generalised Heegner cycles are nothing but Heegner divisors on modular curves, this analogue differs from the p-adic Gross-Zagier formula proved in [PR1], and provides a concrete instance of the p-adic Beilinson conjectures of [PR2], [PR3].”
• Analytic families of finite-slope Selmer groups (2013, methodology): “The remedy for this is likely to be the use of Euler–Poincaré formulas to construct integral isogeny invariants, following [Bloch and Kato 1990; Fontaine and Perrin-Riou 1994; Perrin-Riou 2000].”
• The Heegner point Kolyvagin system (2004, background): “Then H(1) FΛ(K,T) is a submodule of H (1)(KS/K,T) which has no Λ-torsion by [PR00] §1.”