Coleman maps and the p-adic regulator

A Lei, D Loeffler, SL Zerbes - Algebra & Number Theory, 2012 - msp.org
We study the Coleman maps for a crystalline representation V with non-negative Hodge–
Tate weights via Perrin-Riou's p-adic “regulator” or “expanded logarithm” map ℒ V. Denote …

[PDF][PDF] Cyclotomic Iwasawa theory of motives

J Pottharst - preprint, 2012 - mathi.uni-heidelberg.de
We construct Selmer modules for cyclotomic deformations of motives, whose characteristic
ideals recover the algebraic p-adic L-functions of Perrin-Riou. These provide an algebraic …

Signed Selmer groups over -adic Lie extensions

A Lei, SL Zerbes - Journal de théorie des nombres de Bordeaux, 2012 - numdam.org
Let E be an elliptic curve over Q with good supersingular reduction at a prime p≥ 3 and ap=
0. We generalise the definition of Kobayashi's plus/minus Selmer groups over Q (µp∞) to p …