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Haution, Olivier (2018): Involutions of varieties and Rost's degree formula. In: Journal für die Reine und Angewandte Mathematik, Vol. 745: pp. 231-252

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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 and Merkurjev in characteristic not two).

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