2011arXiv (Cornell University)Open access

Jordan-Hölder decomposition of regular $(a, b)$-modules

Piotr P. Karwasz

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Abstract

A classical result of singularity theory states that the spectrum of an isolated hypersurface singularity is symmetric with respect to $n/2$, where $n$ is the dimension of the enclosing space. We prove a similar result for the Jordan-Hölder composition series of the $(a,b)$-module associated to an isolated hypersurface singularity.

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A classical result of singularity theory states that the spectrum of an isolated hypersurface singularity is symmetric with respect to $n/2$, where $n$ is the dimension of the enclosing space. We prove a similar result for the Jordan-Hölder composition series of the $(a,b)$-module associated to an isolated hypersurface singularity.

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Available abstract

A classical result of singularity theory states that the spectrum of an isolated hypersurface singularity is symmetric with respect to $n/2$, where $n$ is the dimension of the enclosing space. We prove a similar result for the Jordan-Hölder composition series of the $(a,b)$-module associated to an isolated hypersurface singularity.

Key concepts: Hypersurface, Singularity, Dimension (graph theory), Mathematics, Spectrum (functional analysis), Pure mathematics, Isolated singularity, Series (stratigraphy)

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