Abstract
Any affine variety with a d-exact action of a unipotent group can be embedded in an affine space preserving d-exactness. Furthermore, we can find such an ambient space which has some other good properties. The key idea of the proof is describing the property “d-exact” by means of inequalities.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Borho, W., Kraft, H.: Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen. Comment. Math. Helv. 54, 61–104 (1979)
Hartshorne, R.: Introduction to Algebraic Geometry. New York, Springer-Verlag 1976
Humphreys, J.E.: Linear Algebraic Groups. Berlin-Heidelberg-New York, Springer 1972
Kraft, H.: Geometrische Methoden in der Invariantentheorie. Aspects of Mathematics vol. D1, Braunschweig/Wiesbaden, Vieweg Verlag 1985
Matsushima, Y.: Espaces homogènes de Stein des groupes de Lie complexes. Nagoya Math. J. 16, 205–218 (1960)
Winkelmann, J.: On free holomorphic C-actions on Cn and homogeneous Stein Manifolds. Math. Ann. 286, 593–612 (1990)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Koitabashi, M. On exact actions of unipotent groups. Manuscripta Math 87, 153–158 (1995). https://doi.org/10.1007/BF02570467
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02570467