Open Access
December 2006 Invariant theoretical characterization of toric locally complete intersection singularities
Haruhisa Nakajima
Proc. Japan Acad. Ser. A Math. Sci. 82(9): 161-166 (December 2006). DOI: 10.3792/pjaa.82.161

Abstract

In the previous paper [N3], we introduced a cofree embedding of a finite dimensional rational representation of a diagonalizable algebraic group over an algebraically closed field of characteristic zero. Using this, we show inductive characterization of toric locally complete intersection singularities in terms of group representation theory. Consequently we obtain a classification of affine monomial normal hypersurfaces.

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Haruhisa Nakajima. "Invariant theoretical characterization of toric locally complete intersection singularities." Proc. Japan Acad. Ser. A Math. Sci. 82 (9) 161 - 166, December 2006. https://doi.org/10.3792/pjaa.82.161

Information

Published: December 2006
First available in Project Euclid: 4 December 2006

zbMATH: 1179.20040
MathSciNet: MR2293503
Digital Object Identifier: 10.3792/pjaa.82.161

Subjects:
Primary: 13A50 , 14L30 , 20G05

Keywords: algebraic tori , character groups , Cofree representations , complete intersections , monomial hypersufaces , toric singularities

Rights: Copyright © 2006 The Japan Academy

Vol.82 • No. 9 • December 2006
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