Finite Equivalence Relations on Algebraic Varieties and Hidden Symmetries

• Published in: Transformation groups Vol. 9; no. 4; pp. 311 - 326
• Main Author: Bialynicki-Birula, A.
• Format: Journal Article
• Language: English
• Published: New York, NY Springer 01.10.2004; Springer Nature B.V
• Subjects: Algebra; Algebraic geometry; Equivalence; Exact sciences and technology; Existence theorems; Mathematics; Quotients; Sciences and techniques of general use; Symmetry; Equivalence relation; Equivalence classes; Group action; Algebraic variety; Hidden symmetry; Existence theorem; Finite group; Morphism; Galois extension; Quotient; Algebraic geometry

This paper can be considered as a continuation of Miyanishi's paper which contains a theorem on existence of a quotient of an affine normal or a projective smooth variety by a finite equivalence relation such that every component of the relation projects onto the variety (we call such an equiva...