Kato-matsumoto-type results for disentanglements

We consider the possible disentanglements of holomorphic map germs f : (Cn, 0) → (CN , 0), 0 < n < N, with nonisolated locus of instability Inst(f). The aim is to achieve lower bounds for their (homological) connectiv- ity in terms of dimInst(f). Our methods apply in the case of corank 1.

Detalles Bibliográficos
Autores: Peñafort, G., Zach, M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1178
Acceso en línea:http://hdl.handle.net/20.500.11824/1178
https://doi.org/10.1017/prm.2019.76
Access Level:acceso abierto
Palabra clave:Vanishing homology
disentanglements
connectedness
Descripción
Sumario:We consider the possible disentanglements of holomorphic map germs f : (Cn, 0) → (CN , 0), 0 < n < N, with nonisolated locus of instability Inst(f). The aim is to achieve lower bounds for their (homological) connectiv- ity in terms of dimInst(f). Our methods apply in the case of corank 1.