Rings of Integers and Trace Forms for Tame Extensions of Odd Degree.
Hopf structure and the Kummer theory of formal groups.
Formal groups and the Galois module structure of local rings of integers.
On the Self-Duality of a Ring of Integers as a Galois Module.
On Fröhlich's Conjecture for Rings of Integers of Tame Extensions.
Monomial representations and rings of integers.
Galois module structure of integers of relative abelian extensions.
Group laws and rings with normal bases.
Class invariants of Mordell-Weil groups.
Local Root Numbers and Hermitian Â? Galois Module Structure of Rings of Integers.
Equivariant Euler characteristics and sheaf resolvents
For certain tame abelian covers of arithmetic surfaces we obtain formulas, involving a quadratic form derived from intersection numbers, for the equivariant Euler characteristics of both the canonical sheaf and also its square root. These formulas allow us to carry out explicit calculations; in particular, we are able to exhibit examples where these two Euler characteristics and that of the structure sheaf are all different and non-trivial. Our results are obtained by using resolvent techniques...
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