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 G-affine real algebraic varieties with respect to equivariant homeomorphisms with algebraic graph, including additive invariants with values in Z. The construction requires to consider the wider category of AS-sets.

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. Mathematische Annalen, 2020, ⟨10.1007/s00208-020-01994-7⟩. ⟨hal-02063373v3⟩