Name
Abstract | ||
|---|---|---|
We study the first homology group H1(F,C) of the Milnor fiber F of sharp arrangements A‾ in PR2. Our work relies on the minimal complex C⁎(S(A)) of the deconing arrangement A and its boundary map. We describe an algorithm which computes possible eigenvalues of the monodromy operator h1 of H1(F,C). We prove that, if a condition on some intersection points of lines in A is satisfied, then the only possible nontrivial eigenvalues of h1 are cubic roots of the unity. Moreover we give sufficient conditions for just eigenvalues of order 3 or 4 to appear in cases in which this condition is not satisfied. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.aam.2017.04.006 | Advances in Applied Mathematics |
Keywords | Field | DocType |
52C35,52B35,20F36,14-XX,05B35 | Graph,Combinatorics,Fiber,Mathematical analysis,Monodromy,Operator (computer programming),Eigenvalues and eigenvectors,Mathematics,Homology (mathematics) | Journal |
Volume | ISSN | Citations |
90 | 0196-8858 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pauline Bailet | 1 | 0 | 0.34 |
| Simona Settepanella | 2 | 0 | 1.69 |