Algebraic monoid structures on the affine 3-space
Algebraic Geometry
2026-02-25 v3
Abstract
We complete the classification of algebraic monoid structures on the affine 3-space. The result is based on a reduction of the general case to that of commutative monoids. We also study various algebraic properties of all monoids appearing in the classification.
Cite
@article{arxiv.2412.09559,
title = {Algebraic monoid structures on the affine 3-space},
author = {Ivan Arzhantsev and Roman Avdeev and Yulia Zaitseva},
journal= {arXiv preprint arXiv:2412.09559},
year = {2026}
}
Comments
v3: 21 pages, revised according to the referee's suggestions