P-adic heights and p-adic Hodge theory

Abstract

Using the theory of $(\varphi ,\Gamma )$-modules and the formalism of Selmer complexes we construct the p-adic height for p-adic representations with coefficients in an affinoid algebra over $Q_p$.

arXiv comment95 pages

References in corpus (2)

• Families of trianguline representations and finite slope spaces
• Selmer complexes and the $p$-adic Hodge theory

Cited by in corpus (2)

• $p$-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou
• Beilinson-Kato and Beilinson-Flach elements, Coleman-Rubin-Stark classes, Heegner points and the Perrin-Riou Conjecture