Rees algebras of ideals of star configurations

In this article we study the defining ideal of Rees algebras of ideals of star configurations. We characterize when these ideals are of linear type and provide sufficient conditions for them to be of fiber type. In the case of star configurations of height two, we give a full description of the defi...

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Published in:arXiv.org 2021-08
Main Authors: Costantini, Alessandra, Drabkin, Ben, Guerrieri, Lorenzo
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Language:English
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Algebra
Configurations
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Drabkin, Ben
Guerrieri, Lorenzo
description In this article we study the defining ideal of Rees algebras of ideals of star configurations. We characterize when these ideals are of linear type and provide sufficient conditions for them to be of fiber type. In the case of star configurations of height two, we give a full description of the defining ideal of the Rees algebra, by explicitly identifying a minimal generating set.
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subjects Algebra
Configurations
title Rees algebras of ideals of star configurations
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