Representations of weakly multiplicative arithmetic matroids are unique
- Lenz, Matthias Département de Mathématiques, Université de Fribourg, Switzerland
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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
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- RERO DOC 326975
- DOI 10.1007/s00026-019-00424-z
- Persistent URL
- https://folia.unifr.ch/unifr/documents/308122
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