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Deletion-Restriction in Toric Arrangements


Affiliations
1 Chennai Mathematical Institute, SIPCOT IT Park, Siruseri, Tamil Nadu, India
     

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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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  • Deletion-Restriction in Toric Arrangements

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Authors

Priyavrat Deshpande
Chennai Mathematical Institute, SIPCOT IT Park, Siruseri, Tamil Nadu, India
Kavita Sutar
Chennai Mathematical Institute, SIPCOT IT Park, Siruseri, Tamil Nadu, India

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.