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Homology of homogeneous divisors

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Abstract

This work deals with arbitrary reduced free divisors in a polynomial ring over a field of characteristic zero, by stressing the ideal theoretic and homological behavior of the corresponding singular locus. A particular emphasis is given to both weighted homogeneous and homogeneous polynomials, allowing to introduce new families of free divisors not coming from either hyperplane arrangements or discriminants in singularity theory.

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Authors and Affiliations

  1. Departamento de Matemática, CCEN, Universidade Federal de Pernambuco, 50740-560, Recife, PE, Brazil

    Aron Simis

  2. Department of Mathematics, University of Idaho, Moscow, ID, 83844, USA

    Ştefan O. Tohăneanu

Authors
  1. Aron Simis
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  2. Ştefan O. Tohăneanu
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Correspondence to Aron Simis.

Additional information

The first author is partially supported by a CNPq Grant.

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Simis, A., Tohăneanu, Ş.O. Homology of homogeneous divisors. Isr. J. Math. 200, 449–487 (2014). https://doi.org/10.1007/s11856-014-0025-3

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  • DOI: https://doi.org/10.1007/s11856-014-0025-3

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