Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-23T16:48:50.511Z Has data issue: false hasContentIssue false

Resolution of Singularities of Null Cones

Published online by Cambridge University Press:  20 November 2018

Weiqiang Wang*
Affiliation:
Department of Mathematics North Carolina State University Raleigh, NC 27695 USA, email: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We give canonical resolutions of singularities of several cone varieties arising from invariant theory. We establish a connection between our resolutions and resolutions of singularities of closure of conjugacy classes in classical Lie algebras.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2001

References

[CG] Chriss, N. and Ginzburg, V., Representation theory and complex geometry. Birkhäuser, 1997.Google Scholar
[H] Howe, R., Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond. The Schur Lectures (Tel Aviv, 1992), Israel Math. Conf. Proc. 8 (1995), 1182.Google Scholar
[KP1] Kraft, H. and Procesi, C., Closures of conjugacy classes are normal. Invent.Math. 53 (1979), 227247.Google Scholar
[KP2] Kraft, H. and Procesi, C., On the geometry of conjugacy classes in classical groups. Comment.Math. Helv. 57 (1982), 539602.Google Scholar
[W] Wang, W., Lagrangian construction of the (gln, glm) duality. Preprint, math.RT/9907154, submitted.Google Scholar