Topology and combinatorics of real line arrangements.

We prove the existence of complexified real arrangements with the same combinatorics but different embeddings in P2. Such a pair of arrangements has an additional property: they admit conjugated equations on the ring of polynomials over Q(√5).

Detalles Bibliográficos
Autores: Artal Bartolo, Enrique, Carmona Ruber, Jorge, Cogolludo Agustín, José Ignacio, Marcos Buzunáriz, Miguel Ángel
Tipo de recurso: artículo
Fecha de publicación:2005
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/50733
Acceso en línea:https://hdl.handle.net/20.500.14352/50733
Access Level:acceso abierto
Palabra clave:512.7
Line arrangements
Braid monodromy.
Geometria algebraica
1201.01 Geometría Algebraica
Descripción
Sumario:We prove the existence of complexified real arrangements with the same combinatorics but different embeddings in P2. Such a pair of arrangements has an additional property: they admit conjugated equations on the ring of polynomials over Q(√5).