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Makar-Limanov and Derksen Invariants

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Algebraic Theory of Locally Nilpotent Derivations

Part of the book series: Encyclopaedia of Mathematical Sciences ((EMS,volume 136.3))

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Abstract

In 1994, a meeting entitled “Workshop on Open Algebraic Varieties” was held at McGill University. This meeting was organized by Peter Russell, who at the time was working with Mariusz Koras to solve the Linearization Problem for \(\mathbb{C}^{{\ast}}\)-actions on \(\mathbb{C}^{3}\). A key remaining piece of their work was to decide whether certain hypersurfaces in \(\mathbb{C}^{4}\) were algebraically isomorphic to \(\mathbb{C}^{3}\).

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Notes

  1. 1.

    There is no general agreement on this nomenclature. We follow here the definition found in [5].

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  1. Department of Mathematics, Western Michigan University, Kalamazoo, Michigan, USA

    Gene Freudenburg

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Freudenburg, G. (2017). Makar-Limanov and Derksen Invariants. In: Algebraic Theory of Locally Nilpotent Derivations. Encyclopaedia of Mathematical Sciences, vol 136.3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55350-3_9

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