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An Artin-Schreier-type theory for signatures of hermitian forms over involutions (2304.03598v1)
Published 7 Apr 2023 in math.RA
Abstract: 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 associated signature maps. We show that a sililar relation holds for hermitian forms over algebras with involution of the first kind, replacing the usual Witt ring with the mixed Witt ring of such an algebra.
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