Quotients and invariants of AS-sets equipped with a finite group action

Fabien Priziac (1)

1 I2M - Institut de Mathématiques de Marseille

Using the geometric quotient of a real algebraic set by the action of a finite group G, we construct invariants of GAS sets with respect to equivariant homeomorphisms with AS-graph, including additive invariants with values in Z.

Mots clés: real algebraic sets; AS-sets; group action; real geometric quotient; equivariant (co)homology; weight filtration; additive invariants

Domaines: Géométrie algébrique [math.AG]

Fabien Priziac. Quotients and invariants of AS-sets equipped with a finite group action. 2019. ⟨hal-02063373v2⟩