2 citations · 2 across the 5 of their papers we have counts for
5 papers
An Artin-Schreier-type theory for signatures of hermitian forms over involutions
Nicolas Garrel
In the case of quadratic forms over a field, it is well-known that the prime spectrum of the Witt ring and the space of orderings of the field determine one another, through associ…
Even Stiefel-Whitney invariants for anti-hermitian quaternionic forms
Nicolas Garrel
We extend all cohomological invariants of similarity classes of quadratic forms to anti-hermitian forms over a quaternion algebra. This uses the fact that such invariants can be li…
Lambda-operations for hermitian forms over algebras with involution
Nicolas Garrel
The Grothendieck-Witt ring of a field is known to be a -ring, where the -operations are induced by the exterior powers of bilinear spaces. We give a similar construction on t…
Mixed Witt rings of algebras with involution
Nicolas Garrel
Although there is no natural internal product for hermitian forms over an algebra with involution of the first kind, we describe how to multiply two -hermitian forms t…
Witt and Cohomological Invariants of Witt Classes
Nicolas Garrel
We classify all invariants of the functor (powers of the fundamental ideal of the Witt ring) with values in , that it to say functions compatible…