Quelques remarques sur le cas sauvage.
Résultats récents sur la monogénéité des anneaux d' entiers
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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