Algebraic monoid structures on the affine 3-space

Fuente: arXiv
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Hauptverfasser: Arzhantsev, Ivan, Avdeev, Roman, Zaitseva, Yulia
Format: Preprint
Veröffentlicht: 2024
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author Arzhantsev, Ivan
Avdeev, Roman
Zaitseva, Yulia
author_facet Arzhantsev, Ivan
Avdeev, Roman
Zaitseva, Yulia
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_09559
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Algebraic monoid structures on the affine 3-space
Arzhantsev, Ivan
Avdeev, Roman
Zaitseva, Yulia
Algebraic Geometry
20M32, 14R10 (Primary) 14R20 (Secondary)
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.
title Algebraic monoid structures on the affine 3-space
topic Algebraic Geometry
20M32, 14R10 (Primary) 14R20 (Secondary)
url https://arxiv.org/abs/2412.09559