5 citations · 9 across the 9 of their papers we have counts for
9 papers
On the Quadratic Structure of Torsors over Affine Group Schemes
Philippe Cassou-Noguès, Martin J. Taylor
Let be a finite and flat group scheme over the ring of algebraic integers of a number field and suppose that the generic fiber of $\mathcal{G…
On the trace forms of Galois algebras
Philippe Cassou-Noguès, Ted Chinburg, Baptiste Morin +1
We study the trace form of -Galois algebras when is a finite group and is a field of characteristic different from . We introduce in this paper the catego…
Tannakian twists of quadratic forms and orthogonal Nori motives
Philippe Cassou-Noguès, Baptiste Morin
We revisit classical results of Serre, Fröhlich and Saito in the theory of quadratic forms. Given a neutral Tannakian category over a field of characteristic…
Galois module structure and Jacobians of Fermat curves
Philippe Cassou-Noguès, Jean Gillibert, Arnaud Jehanne
The class-invariant homomorphism allows one to measure the Galois module structure of extensions obtained by dividing points on abelian varieties. In this paper, we consider the ca…
Derived category invariants and L-series
Philippe Cassou-Noguès, Ted Chinburg, Boas Erez +1
We relate invariants in derived categories associated to tame actions of finite groups on projective varieties over a finite field to zeros of L-functions
The classifying topos of a group scheme and invariants of symmetric bundles
Philippe Cassou-Noguès, Ted Chinburg, Baptiste Morin +1
Let be a scheme in which 2 is invertible and let be a rank vector bundle on endowed with a non-degenerate symmetric bilinear form . The orthogonal group ${\bf O}…
Orthogonal representations of affine group schemes and twists of symmetric bundles
Philippe Cassou-Noguès, Ted Chinburg, Baptiste Morin +1
Following Serre's initial work, a number of authors have considered twists of quadratic forms on a scheme Y by torsors of a finite group G, together with formulas for the Hasse-Wit…
Equivariant Euler characteristics and sheaf resolvents
Ph. Cassou-Nogu`es, M. J. Taylor
For certain tame abelian covers of arithmetic surfaces X/Y we obtain striking formulas, involving a quadratic form derived from intersection numbers, for the equivariant Euler char…
Twists of symmetric bundles
Ph. Cassou-Nogues, B. Erez, M. J. Taylor
We establish comparison results between the Hasse-Witt invariants w_t(E) of a symmetric bundle E over a scheme and the invariants of one of its twists E_α. For general twists we de…