We prove that the Mazur-Tate elements of an eigenform f sit inside the Fitting ideals of the
corresponding dual Selmer groups along the cyclotomic Zp-extension (up to scaling by a …

In this article, we extend work of Herr from the case of cyclotomic (φ, Γ) (φ,Γ)‐modules to the
general case of Lubin–Tate (φ, Γ) (φ,Γ)‐modules. In particular, we define generalized φ‐and …

Our objective in this series of two articles, of which the present article is the first, is to give a
Perrin-Riou-style construction of p-adic L-functions (of Bellaïche and Stevens) over the …

Let f be an elliptic modular form and p an odd prime that is coprime to the level of f. We study
the link between divisors of the characteristic ideal of the p-primary fine Selmer group of f …

We discuss refined applications of Kato's Euler systems for modular forms of higher weight
at good primes (with more emphasis on the non-ordinary ones) beyond the one-sided …

A version of the extra-zero conjecture, formulated by the first named author, is proved for p-
adic L-functions associated with Rankin–Selberg convolutions of modular forms of the same …

An Introduction to p-Adic Hodge Theory | SpringerLink We’re sorry, something doesn't seem to
be working properly. Please try refreshing the page. If that doesn't work, please contact support …

Let $ K $ be an imaginary quadratic field and $ K_\infty $ be the $\mathbf {Z} _p^ 2$-
extension of $ K $. Answering a question of Ahmed and Lim, we show that the Pontryagin …

We construct various explicit Herr complexes that compute the Galois cohomology of a $ p $-
adic representation of the absolute Galois group of a complete discrete valuation field of …

1.2. Iwasawa's idea. Now imagine we want to replace the variety X above by a number field
F. Instead of X (Fp), we should have some other interesting arithmetic quantity. Iwasawa's …