$J$-invariant of hermitian forms over quadratic extensions
Algebraic Geometry
2019-08-14 v7
Abstract
We develop the version of the -invariant for hermitian forms over quadratic extensions in a similar way Alexander Vishik did it for quadratic forms. This discrete invariant contains informations about rationality of algebraic cycles on the maximal unitary grassmannian associated with a hermitan form over a quadratic extension. The computation of the canonical -dimension of this grassmannian in terms of the -invariant is provided, as well as a complete motivic decomposition.
Keywords
Cite
@article{arxiv.1602.04079,
title = {$J$-invariant of hermitian forms over quadratic extensions},
author = {Raphaël Fino},
journal= {arXiv preprint arXiv:1602.04079},
year = {2019}
}