Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 35-40 |
| Seitenumfang | 6 |
| Fachzeitschrift | Proceedings of the American Mathematical Society |
| Jahrgang | 143 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - 1 Jan. 2015 |
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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
- Mathematik (insg.)
- Angewandte Mathematik
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in: Proceedings of the American Mathematical Society, Jahrgang 143, Nr. 1, 01.01.2015, S. 35-40.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Free but not recursively free arrangements
AU - Cuntz, M.
AU - Hoge, T.
N1 - Publisher Copyright: © 2014 American Mathematical Society. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84924787251&partnerID=8YFLogxK
U2 - 10.1090/s0002-9939-2014-12263-5
DO - 10.1090/s0002-9939-2014-12263-5
M3 - Article
AN - SCOPUS:84924787251
VL - 143
SP - 35
EP - 40
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 1
ER -