|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
Double coverings of arrangement complements and 2-torsion in Milnor fiber homology
| Title: | Double coverings of arrangement complements and 2-torsion in Milnor fiber homology |
| Authors: | Yoshinaga, Masahiko Browse this author →KAKEN DB |
| Keywords: | Hyperplane arrangements | | Milnor fiber | | Monodromy | | Aomoto complex | | Transfer map | | Icosidodecahedron |
| Issue Date: | Sep-2020 |
| Publisher: | Springer |
| Journal Title: | European Journal of Mathematics |
| Volume: | 6 |
| Issue: | 3 |
| Start Page: | 1097 |
| End Page: | 1109 |
| Publisher DOI: | 10.1007/s40879-019-00387-8 |
| Abstract: | We prove that the mod 2 Betti numbers of double coverings of a complex hyperplane arrangement complement are combinatorially determined. The proof is based on a relation between the mod 2 Aomoto complex and the transfer long exact sequence. Applying the above result to the icosidodecahedral arrangement (16 planes in the three-dimensional space related to the icosidodecahedron), we conclude that the first homology of the Milnor fiber has non-trivial 2-torsion. |
| Rights: | The final publication is available at link.springer.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/82566 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
|
Submitter: 吉永 正彦
|
