Homogeneous Locally Nilpotent Derivations on Trinomial Varieties

K. A. Rassolov<sup>ab

a</sup> National Research University Higher School of Economics, Moscow
^b Lomonosov Moscow State University

Abstract: We consider the finest grading of the algebra of regular functions of a trinomial variety such that all coordinate functions are homogeneous. An explicit form of locally nilpotent derivations that are homogeneous with respect to this grading is obtained.

Keywords: affine algebraic variety, trinomial variety, locally nilpotent derivation.

UDC: 517.925

MSC: 14L30

Received: 14.11.2024
Revised: 02.04.2025

DOI: 10.4213/mzm14568

 English version: Mathematical Notes, 2025, 118:4, 820–835

Bibliographic databases:

•