| Full text | |
| Author(s): |
Marchesi, Simone
;
Valles, Jean
Total Authors: 2
|
| Document type: | Journal article |
| Source: | EPIJOURNAL DE GEOMETRIE ALGEBRIQUE; v. 7, p. 20-pg., 2023-05-02. |
| Abstract | |
In this work we study line arrangements consisting in lines passing through three non-aligned points. We call them triangular arrangements. We prove that any combinatorics of a triangular arrangement is always realized by a Roots-of-Unity-Arrangement, which is a particular class of triangular arrangements. Among these Roots-of Unity-Arrangements, we provide conditions that ensure their freeness. Finally, we give two triangular arrangements having the same weak combinatorics, such that one is free but the other one is not. (AU) | |
| FAPESP's process: | 18/08524-2 - Arrangements and vector bundles |
| Grantee: | Simone Marchesi |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 17/03487-9 - Vector bundles: from the instanton family to a new regularity |
| Grantee: | Simone Marchesi |
| Support Opportunities: | Regular Research Grants |