Ga-actions on affine cones

Takashi Kishimoto (1) , Yuri Prokhorov (2) , Mikhail Zaidenberg (3)

1 Department of Mathematics, Faculty of Science, Saitama University
2 Laboratoire de la Geometrie Algebrique
3 IF - Institut Fourier

We give a criterion of existence of a unipotent group action on the affine cone over a projective variety or, more generally, on the affine quasicone over a variety which is projective over another affine variety.

Mots clés: groupe unipotent; groupe additive; action de groupe; variété projective; cône affine

Domaines: Géométrie algébrique [math.AG]

Takashi Kishimoto, Yuri Prokhorov, Mikhail Zaidenberg. Ga-actions on affine cones. Transformation Groups, 2013, Volume 18 (Issue 4), pp 1137-1153. ⟨10.1007/s00031-013-9246-5⟩. ⟨hal-00766232v3⟩