Currently displaying 1 – 9 of 9

Showing per page

Order by Relevance | Title | Year of publication

On the conductor formula of Bloch

Kazuya KatoTakeshi Saito — 2004

Publications Mathématiques de l'IHÉS

In [6], S. Bloch conjectures a formula for the Artin conductor of the ℓ-adic etale cohomology of a regular model of a variety over a local field and proves it for a curve. The formula, which we call the conductor formula of Bloch, enables us to compute the conductor that measures the wild ramification by using the sheaf of differential 1-forms. In this paper, we prove the formula in arbitrary dimension under the assumption that the reduced closed fiber has normal crossings.

Albanese varieties with modulus and Hodge theory

Kazuya KatoHenrik Russell — 2012

Annales de l’institut Fourier

Let X be a proper smooth variety over a field k of characteristic 0 and Y an effective divisor on X with multiplicity. We introduce a generalized Albanese variety Alb ( X , Y ) of X of modulus Y , as higher dimensional analogue of the generalized Jacobian with modulus of Rosenlicht-Serre. Our construction is algebraic. For k = we give a Hodge theoretic description.

The GL2 main conjecture for elliptic curves without complex multiplication

John CoatesTakako FukayaKazuya KatoRamdorai SujathaOtmar Venjakob — 2005

Publications Mathématiques de l'IHÉS

Let G be a compact -adic Lie group, with no element of order , and having a closed normal subgroup H such that G/H is isomorphic to . We prove the existence of a canonical Ore set S of non-zero divisors in the Iwasawa algebra Λ(G) of G, which seems to be particularly relevant for arithmetic applications. Using localization with respect to S, we are able to define a characteristic element for every finitely generated Λ(G)-module M which has the property that the quotient of M by its...

Page 1

Download Results (CSV)