Year: 2019
Type: article
Abstract: Let be an affine algebraic variety endowed with an action of complexity one of an algebraic torus . It is well known that homogeneous locally nilpotent derivations on the algebra of regular functions can be described in terms of proper polyhedral divisors corresponding to the -variety . We prove that homogeneous locally nilpotent derivations commute if and only if a certain combinatorial criterion holds. These results are used to describe actions of unipotent groups of dimension two on affine -varieties. Bibliography: 10 titles.
Source: Sbornik Mathematics
DOI: 10.1070/sm9132
Author: D. A. Matveev
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Russian Science Foundation
Award: G7378501045
OpenAlex ID: W2802841055