Commutative algebraic monoid structures on affine surfaces
Algebraic Geometry
2021-07-27 v3
Abstract
We classify commutative algebraic monoid structures on normal affine surfaces over an algebraically closed field of characteristic zero. The answer is given in two languages: comultiplications and Cox coordinates. The result follows from a more general classification of commutative monoid structures of rank 0, n-1 or n on a normal affine variety of dimension n.
Cite
@article{arxiv.2007.06698,
title = {Commutative algebraic monoid structures on affine surfaces},
author = {Sergey Dzhunusov and Yulia Zaitseva},
journal= {arXiv preprint arXiv:2007.06698},
year = {2021}
}
Comments
17 pages, minor corrections