Artin L-functions of Galois extensions and isoclinism classes of Galois groups

We give some comple- ments to these theories to compute the refined Swan conductor ([K1]) and the characteristic form for a character of the fundamental group of a smooth sep-

On Landau–Siegel zeros and heights of singular moduli Submitted

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

The following result about dim X r−1 when p | r is stated without proof, as it follows from the more general Lemma 4.3 in Section 4..

It is not a bad idea but it means that since a differential field automorphism of L|[x 0 ] is given by a birational transformation c 7→ ϕ(c) of the space of initial conditions, we

A class F of real or complex valued functions is said to be inverse closed if 1/f remains in the class whenever f is in the class and it does not vanish, and it is said to

Byott ([By97a], [By97b], [By99], [By00], [By02]) has constructed examples of wild Galois extensions L|K of local fields with Galois group G where S is not a free module over

If the Krull dimension is at least 2, then there are infinitely many prime ideals P of height 1 such that (Λ/P ) is also a formal power series ring, but with Krull dimension reduced