Free but not recursively free arrangements
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- by M. Cuntz and T. Hoge PDF
- Proc. Amer. Math. Soc. 143 (2015), 35-40 Request permission
Abstract:
We construct counterexamples to the conjecture that every free arrangement is recursively free in characteristic zero. The intersection lattice of our smallest example has a realization over a finite field which is recursively free, thus recursive freeness is not a combinatorial property of the intersection lattice of an arrangement.References
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Additional Information
- M. Cuntz
- Affiliation: Fachbereich Mathematik, Universität Kaiserslautern, Postfach 3049, D-67653 Kaiserslautern, Germany
- Address at time of publication: Institut für Algebra, Zahlentheorie und Disfinite Mathematik, Fakulüt für Mathematik und Physik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
- T. Hoge
- Affiliation: Fakultät für Mathematik, Ruhr-Universität Bochum, Universitätsstrasse 150, D- 44780 Bochum, Germany
- Address at time of publication: Institut für Algebra, Zahlentheorie und Disfinite Mathematik, Fakulüt für Mathematik und Physik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
- Received by editor(s): February 28, 2013
- Published electronically: August 15, 2014
- Communicated by: Lev Borisov
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 35-40
- MSC (2010): Primary 13N15, 14N20, 20F55, 52C35
- DOI: https://doi.org/10.1090/S0002-9939-2014-12263-5
- MathSciNet review: 3272729