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Strongly Incompressible Curves

Published online by Cambridge University Press:  20 November 2018

Mario Garcia-Armas
Mario Garcia-Armas*
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada e-mail: marioga@math.ubc.ca
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Abstract

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Let $G$ be a finite group. A faithful $G$ -variety $X$ is called strongly incompressible if every dominant $G$ -equivariant rationalmap of $X$ onto another faithful $G$ -variety $Y$ is birational. We settle the problem of existence of strongly incompressible $G$ -curves for any finite group $G$ and any base field $k$ of characteristic zero.

Keywords

14L3014E0714H37algebraic curvesgroup actionsGalois cohomology

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 68 , Issue 3 , 01 June 2016 , pp. 541 - 570
Copyright
Copyright © Canadian Mathematical Society 2016

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