Jérémy Blanc, Immanuel Stampfli
Published 2013-04-09Version 1
We study the group of automorphisms of the affine plane preserving some given curve, over any field. The group is proven to be algebraic, except in the case where the curve is a bunch of parallel lines. Moreover, a classification of the groups of positive dimension occuring is also given in the case where the curve is geometrically irreducible and the field is perfect.
Double EPW-cubes: automorphisms and degenerations
K3 surfaces with order 11 automorphisms
Riemann surfaces of genus $1+q^2$ with $3q^2$ automorphisms
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