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Entree


Triangular arrangements on the projective plane

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Autor(es):
Marchesi, Simone ; Valles, Jean
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: EPIJOURNAL DE GEOMETRIE ALGEBRIQUE; v. 7, p. 20-pg., 2023-05-02.
Resumo

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)

Processo FAPESP: 18/08524-2 - Arrangements e fibrados vetoriais
Beneficiário:Simone Marchesi
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional
Processo FAPESP: 17/03487-9 - Fibrados vetoriais: da família instanton até uma nova regularidade
Beneficiário:Simone Marchesi
Modalidade de apoio: Auxílio à Pesquisa - Regular