Abstract
Ziegler showed that the multirestriction of a free arrangement is also free. After Ziegler's work, several results concerning the "reverse direction", i.e., characterizing freeness of an arrangement via that of its multirestriction, have appeared. In this paper, we prove a new characterization of freeness in which the second Betti number of the arrangement plays a crucial role.
Original language | English |
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Pages (from-to) | 911-919 |
Number of pages | 9 |
Journal | Mathematische Zeitschrift |
Volume | 275 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - Dec 2013 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)