We describe the structure of the group of algebraic automorphisms of the following surfaces 1) P1,k x P1,k minus a diagonal; 2) P1,k x P1,k minus a fiber. The motivation is to get a new proof of two theorems proven respectively by L. Makar-Limanov and H. Nagao. We also discuss the structure of the semi-group of polynomial proper maps from C2 to C2.
@article{urn:eudml:doc:41552,
title = {Sur la structure du groupe d'automorphismes de certaines surfaces affines.},
journal = {Publicacions Matem\`atiques},
volume = {49},
year = {2005},
pages = {3-20},
zbl = {1094.14052},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41552}
}
Lamy, Stéphane. Sur la structure du groupe d'automorphismes de certaines surfaces affines.. Publicacions Matemàtiques, Tome 49 (2005) pp. 3-20. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41552/