Name
Abstract | ||
|---|---|---|
In these notes we study hyperplane arrangements having at least one logarithmic derivation of degree two that is not a combination of degree one logarithmic derivations. It is well-known that if a hyperplane arrangement has a linear logarithmic derivation not a constant multiple of the Euler derivation, then the arrangement decomposes as the direct product of smaller arrangements. The next natural step would be to study arrangements with non-trivial quadratic logarithmic derivations. On this regard, we present a computational lemma that leads to a full classification of hyperplane arrangements of rank 3 having such a quadratic logarithmic derivation. These results come as a consequence of looking at the variety of the points dual to the hyperplanes in such special arrangements. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.disc.2015.07.004 | Discrete Mathematics |
Keywords | DocType | Volume |
Hyperplane arrangements,Logarithmic derivation,Syzygies,Jacobian ideal | Journal | 339 |
Issue | ISSN | Citations |
1 | 0012-365X | 0 |
PageRank | References | Authors |
0.34 | 0 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Stefan O. Tohaneanu | 1 | 15 | 5.03 |