Deletion-restriction in toric arrangements

Priyavrat Deshpande; Kavita Sutar

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arXiv · 1406.0302

Deletion-restriction in toric arrangements

Priyavrat Deshpande·Kavita Sutar

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Abstract

Deletion-restriction is a fundamental tool in the theory of hyperplane arrangements. Various important results in this field have been proved using deletion-restriction. In this paper we use deletion-restriction to identify a class of toric arrangements for which the cohomology algebra of the complement is generated in degree $1$. We also show that for these arrangements the complement is formal in the sense of Sullivan.

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BibTeX RIS

Priyavrat Deshpande, Kavita Sutar. 2014-06-02. Deletion-restriction in toric arrangements. https://arxiv.org/abs/1406.0302

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