Involutions of varieties and Rost's degree formula
Algebraic Geometry
2018-12-04 v4
Abstract
To an algebraic variety equipped with an involution, we associate a cycle class in the modulo two Chow group of its fixed locus. This association is functorial with respect to proper morphisms having a degree and preserving the involutions. Specialising to the exchange involution of the square of a complete variety, we obtain Rost's degree formula in arbitrary characteristic (this formula was proved by Rost/Merkurjev in characteristic not two).
Keywords
Cite
@article{arxiv.1403.3604,
title = {Involutions of varieties and Rost's degree formula},
author = {Olivier Haution},
journal= {arXiv preprint arXiv:1403.3604},
year = {2018}
}
Comments
Final version. The section on birational invariance of the Segre class has been removed, and will be incorporated into another paper