Modified Makar-Limanov and Derksen invariants

DOI10.1016/j.jpaa.2024.107616arXiv2212.05899OpenAlexW4390949234WikidataQ129745959 ScholiaQ129745959MaRDI QIDQ6199084

Anton Shafarevich, S. A. Gaifullin

Publication date: 23 February 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.05899

zbMATH Keywords

locally nilpotent derivationaffine varietyDerksen invariantMakar-Limanov invariant

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Classification of affine varieties (14R05) Group actions on affine varieties (14R20) Relevant commutative algebra (14A05)

Cites Work

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• On the hypersurface \(x+x^2y+z^2+t^3=0\) in \(\mathbb{C}^4\) or a \(\mathbb{C}^3\)-like threefold which is not \(\mathbb{C}^3\)
• Affine \(\mathbb{T}\)-varieties of complexity one and locally nilpotent derivations
• The cylinder over the Koras-Russell cubic threefold has a trivial Makar-Limanov invariant
• Flexible varieties and automorphism groups
• Automorphisms of nonnormal toric varieties
• An algebraic characterization of the affine three space
• Locally nilpotent derivations and the structure of rings
• Automorphisms of Danielewski varieties
• Automorphism groups of Koras-Russell threefolds of the first kind
• Introduction to Toric Varieties. (AM-131)
• The Derksen invariant vs. the Makar-Limanov invariant
• Sous-groupes algébriques de rang maximum du groupe de Cremona
• Algebraic theory of locally nilpotent derivations
• On the group of automorphisms of a surface \(x^ny= P(z)\)

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