Additive actions on complete toric surfaces

2019/08/07 by Dzhunusov, Sergey · 3 citations
#14J50 #14L30 #14M17 (Secondary) #14M25 (Primary) 13N15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1908.03563

Abstract

By an additive action on an algebraic variety X we mean a regular effective action \mathbbG_aⁿ× X→ X with an open orbit of the commutative unipotent group \mathbbG_aⁿ. In this paper, we give a classification of additive actions on complete toric surfaces.

Cited by

• Classifying additive smooth Fano toric varieties
• Induced additive actions on toric varieties
• Additive actions on projective surfaces with a finite number of orbits

Related

• On uniqueness of additive actions on complete toric varieties
• Additive actions on toric projective hypersurfaces
• Additive actions on projective surfaces with a finite number of orbits
• Induced additive actions on toric varieties
• Euler-symmetric projective toric varieties and additive actions