Quotients of Real Algebraic Sets via Finite Groups

Date

1997-01-01

Author

Ozan, Yıldıray

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In this paper, we will study finite algebraic group actions on real algebraic sets and compare the topological quotient X/G with the algebraic quotient X/ /G. We will give a different and shorter proof of a result of Procesi and Schwarz, stating that if the order of the group G, acting algebraically on a real algebraic set X, is odd then X/G is equal to X/ /G. In the case of even order groups, we will a give sufficient condition ( and a necessary condition in the case G = Z_2 ) for the X / G to be equal to X//G.

URI

https://hdl.handle.net/11511/80761
https://journals.tubitak.gov.tr/math/abstract.htm?id=1556

Journal

Turkish Math. Journal

Collections

Department of Mathematics, Article

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Citation Formats

Y. Ozan, “Quotients of Real Algebraic Sets via Finite Groups,” Turkish Math. Journal, pp. 493–499, 1997, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/80761.