Additive actions on complete toric surfaces

Abstract

By an additive action on an algebraic variety $X$ we mean a regular effective action ${\mathbb{G}}_a^n\times X\to X$ with an open orbit of the commutative unipotent group ${\mathbb{G}}_a^n$. In this paper, we give a classification of additive actions on complete toric surfaces.

12 pages, 5 figures. arXiv admin note: text overlap with arXiv:1510.07154 by other authors