Singular loci of reflection arrangements and the containment problem

Ben Drabkin; Alexandra Seceleanu

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arXiv · 2002.05353

Singular loci of reflection arrangements and the containment problem

Ben Drabkin·Alexandra Seceleanu

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Abstract

This paper provides insights into the role of symmetry in studying polynomial functions vanishing to high order on an algebraic variety. The varieties we study are singular loci of hyperplane arrangements in projective space, with emphasis on arrangements arising from complex reflection groups. We provide minimal sets of equations for the radical ideals defining these singular loci and study containments between the ordinary and symbolic powers of these ideals.

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BibTeX RIS

Ben Drabkin, Alexandra Seceleanu. 2020-02-13. Singular loci of reflection arrangements and the containment problem. https://arxiv.org/abs/2002.05353

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