Geodesic
Strongly Incompressible Curves
Canadian journal of mathematics, Tome 68 (2016) no. 3, pp. 541-570

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DOI

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.
DOI : 10.4153/CJM-2015-012-3
Mots-clés : 14L30, 14E07, 14H37, algebraic curves, group actions, Galois cohomology 
Garcia-Armas, Mario. Strongly Incompressible Curves. Canadian journal of mathematics, Tome 68 (2016) no. 3, pp. 541-570. doi: 10.4153/CJM-2015-012-3
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     title = {Strongly {Incompressible} {Curves}},
     journal = {Canadian journal of mathematics},
     pages = {541--570},
     year = {2016},
     volume = {68},
     number = {3},
     doi = {10.4153/CJM-2015-012-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2015-012-3/}
}
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