6 citations · 7 across the 6 of their papers we have counts for
6 papers
The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra
Olivier Fouquet
Modular motives have coefficients in Hecke algebras. According to the equivariant philosophy, special values of -functions of eigencuspforms should therefore exhibit equivariant…
The Iwasawa Main Conjecture for universal families of modular motives
Olivier Fouquet, Xin Wan
Let be an odd prime. We prove the cyclotomic Iwasawa Main Conjecture of K.Kato for the motive attached to an eigencuspform with arbitrary reduction type…
-adic properties of motivic fundamental lines (Kato's conjecture is (probably) false for (not so) trivial reasons)
Olivier Fouquet
We prove the conjectured compatibility of -adic fundamental lines with specializations at motivic points for a wide class of -adic families of -adic Galois representations…
The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in Hecke algebras
Olivier Fouquet
Under mild hypotheses on the residual representation, we prove the Equivariant Tamagawa Number Conjecture for modular motives with coefficients in universal deformation rings and H…
Congruences of algebraic -functions of motives
Olivier Fouquet, Jyoti Prakash Saha
We develop a framework to investigate conjectures on congruences between the algebraic part of special values of -functions of congruent motives. We show that algebraic local Eu…
The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in the Hecke algebra
Olivier Fouquet
We propose a formulation of the Equivariant Tamagawa Number Conjecture for modular motives with coefficients in universal deformation rings and Hecke algebras; something which seem…