研究者所属（当時） | 資格 | 氏名 | |
---|---|---|---|

（代表者） | 理工学術院 基幹理工学部 | 助手 | 奥村 克彦 |

- 研究成果概要
The original plan was to study Poisson structures that characterize quadratic hypersurfaces. However, my interest shifted to the construction of SNC log-symplectic structures using the Hilbert scheme of points, which I was studying in parallel, and I spent most of this year working on this topic. It is a kind of Poisson structure known as the closest one to symplectic and it characterize projectice space. It is also difficult to construct examples like the symplectic case. We find that the blow-up of the Hilbert scheme of points of the diagonal Poisson structure on the projective space form an example of SNC log-symplectic. We also started a study on a VNC log-symplectic structure, which is a generalization of SNC that allows actions of finite groups.