On uniqueness of additive actions on complete toric varieties

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 uniqueness criterion for additive action on a complete toric variety.

12 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1908.03563 and text overlap with arXiv:1510.07154 by other authors