Invariant theoretical characterization of toric locally complete intersection singularities

Invariant theoretical characterization of toric locally complete intersection singularities

Haruhisa Nakajima

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 82, Number 9 (2006), 161-166.

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.

First Page: Show

Primary Subjects: 20G05, 13A50, 14L30

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

Full-text: Open access

PDF File (187 KB)

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1165244965
Mathematical Reviews number (MathSciNet): MR2293503
Digital Object Identifier: doi:10.3792/pjaa.82.161
Zentralblatt MATH identifier: 05203108

back to Table of Contents

References

(1990), no. 3, 391--413.

(2001), no. 2, 536--549.

(2006), no. 9, 155--160.

, Lect. Notes in Math. No. 339, Springer-Verlag, Berlin Heidelberg New Tork, 1973.

, Secrétariat math., paris, 1967.

(1994), no. 2, 161--170.

previous :: next