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Quotients and invariants of $$\mathcal {AS}$$-sets equipped with a finite group action

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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… Click to show full abstract

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.

Keywords: quotients invariants; mathcal sets; finite group; invariants mathcal; action

Journal Title: Mathematische Annalen
Year Published: 2020

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