Open AccessSome open questions about line arrangements in the projective plane
Author(s) -
Giancarlo Urzúa
Publication year - 2022
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-5277
Subject(s) - line (geometry) , projective plane , projective test , connection (principal bundle) , plane (geometry) , projective line , real projective plane , pure mathematics , pencil (optics) , mathematics , computer science , projective space , geometry , algebra over a field , physics , collineation , optics , correlation
Despite that the study of line arrangements in the projective plane is old and elemental, there is still a long list of intriguing open questions and applications to modern mathematics. Our goal is to discuss part of that list, focusing on the connection with Chern invariants and pointing towards configurations of rational curves.