2008arXiv (Cornell University)Open access

On regularity in codimension one of irreducible components of module varieties

Grzegorz Bobiński

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Abstract

Let A be a tame quasi-tilted algebra and d the dimension vector of an indecomposable A-module. In the paper we prove that each irreducible component of the variety of A-modules of dimension vector d is regular in codimension one.

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Let A be a tame quasi-tilted algebra and d the dimension vector of an indecomposable A-module. In the paper we prove that each irreducible component of the variety of A-modules of dimension vector d is regular in codimension one.

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Available abstract

Let A be a tame quasi-tilted algebra and d the dimension vector of an indecomposable A-module. In the paper we prove that each irreducible component of the variety of A-modules of dimension vector d is regular in codimension one.

Key concepts: Codimension, Pure mathematics, Mathematics, Component (thermodynamics), Algebra over a field, Computer science, Physics, Thermodynamics

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