Details
| Original language | English |
|---|---|
| Pages (from-to) | 35-40 |
| Number of pages | 6 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 143 |
| Issue number | 1 |
| Publication status | Published - 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 subject areas
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Proceedings of the American Mathematical Society, Vol. 143, No. 1, 01.01.2015, p. 35-40.
Research output: Contribution to journal › Article › Research › 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 -