Journal article

Representations of weakly multiplicative arithmetic matroids are unique

  • Lenz, Matthias Département de Mathématiques, Université de Fribourg, Switzerland
    2019
Published in:
  • Annals of Combinatorics. - 2019, vol. 23, no. 2, p. 335–346
English An arithmetic matroid is weakly multiplicative if the multiplicity of at least one of its bases is equal to the product of the multiplicities of its elements. We show that if such an arithmetic matroid can be represented by an integer matrix, then this matrix is uniquely determined. This implies that the integral cohomology ring of a centered toric arrangement whose arithmetic matroid is weakly multiplicative is determined by its poset of layers. This partially answers a question asked by Callegaro–Delucchi.
Faculty
Faculté des sciences et de médecine
Department
Département de Mathématiques
Language
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/308122
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