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Strongly Incompressible Curves

Published:2016-03-08
Printed: Jun 2016
• Mario Garcia-Armas,
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada
 Format: LaTeX MathJax PDF

Abstract

Let $G$ be a finite group. A faithful $G$-variety $X$ is called strongly incompressible if every dominant $G$-equivariant rational map 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: algebraic curves, group actions, Galois cohomology
 MSC Classifications: 14L30 - Group actions on varieties or schemes (quotients) [See also 13A50, 14L24, 14M17] 14E07 - Birational automorphisms, Cremona group and generalizations 14H37 - Automorphisms

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