Commutative algebraic monoid structures on affine spaces

Ivan Arzhantsev, Sergey Bragin, Yulia Zaitseva

We study commutative associative polynomial operations ${\mathbb{A}}^n\times {\mathbb{A}}^n\to {\mathbb{A}}^n$ with unit on the affine space ${\mathbb{A}}^n$ over an algebraically closed fie…