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Arason invariant information

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In mathematics, the Arason invariant is a cohomological invariant associated to a quadratic form of even rank and trivial discriminant and Clifford invariant over a field k of characteristic not 2, taking values in H³(k,Z/2Z). It was introduced by (Arason 1975, Theorem 5.7).

The Rost invariant is a generalization of the Arason invariant to other algebraic groups.

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Arason invariant

Last Update: 2024-06-23T14:55:34Z

the Arason invariant is a cohomological invariant associated to a quadratic form of even rank and trivial discriminant and Clifford invariant over a...

Word Count : 335

Cohomological invariant

Last Update: 2024-02-21T15:51:11Z

dimension 2 it is essentially the Hasse−Witt invariant. The Arason invariant e3 is a dimension 3 invariant of some even dimensional quadratic forms q with...

Word Count : 694

Rost invariant

Last Update: 2018-05-16T12:55:26Z

work that was summarized by Serre (1995). The Rost invariant is a generalization of the Arason invariant. Suppose that G is an absolutely almost simple simply...

Word Count : 516

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