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In the previous paper [1], a filtration by ramification groups and its logarithmic version are defined on the absolute Galois group G K of a complete discrete valuation field K

The theorem also implies that all p-adic L-functions for elliptic curves at odd primes p of semi-stable ordinary reductions are integral elements in the Iwasawa algebra.. See

Our guiding philosophy will now be to prove refined Kato inequalities for sections lying in the kernels of natural first-order elliptic operators on E, with the constants given in

Using notions from Arakelov theory of arithmetic curves, van der Geer and Schoof were led to introduce an analogous zeta function for number fields [GS].. In [LR] Lagarias and

We then con- sider CM abelian extensions of totally real fields and by combining our earlier considerations with the known validity of the Main Con- jecture of Iwasawa theory we

On the other hand, conjecture C for a smooth projective variety over a finite field allows to compute the Kato homology of X s in (1-3), at least in the case of semi- stable

This article does not really contain any new results, and it is mostly a re- interpretation of formulas of Cherbonnier-Colmez (for the dual exponential map), and of Benois and

Greenberg ([9, Theorem 4.1]) establishes a relation between the cardinality of Selmer groups of elliptic curves over number fields and the characteristic power series of