On compactifications of the Steinberg zero-fiber

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Let G be a connected semisimple linear algebraic group over an algebraically closed field k of positive characteristic and let X denote an equivariant embedding of G. We define a distinguished Steinberg fiber N in G, called the zero-fiber, and prove that the closure of N within X is normal and Cohen-Macaulay. Furthermore, when X is smooth we prove that the closure of N is a local complete intersection.
18 pages

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Algebraic Geometry, Representation Theory, 14M17; 13A35

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http://salesiana.dossiersoluciones.com/handle/123456789/75516

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506348
 http://arxiv.org/abs/math/0506348

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arXiv