RT Book, Section
T1 On rational cuspidal plane curves, open surfaces and local singularities
A1 Fernández de Bobadilla de Olarzábal, Javier José
A1 Luengo Velasco, Ignacio
A1 Melle Hernández, Alejandro
A1 Némethi, A.
A2 Cheniot, D.
A2 Dutertre, D.
A2 Murolo, C.
A2 Trotman, D.
A2 Pichon, A.
AB Let C be an irreducible projective plane curve in the complex projective space P(2). The classification of such curves, up to the action of the automorphism group PGL(3, C) on P(2), is a very difficult open problem with many interesting connections. The main goal is to determine, for a given d, whether there exists a projective plane curve of degree d having a fixed number of singularities of given topological type. In this note we are mainly interested in the case when C is a rational curve. The aim of this article is to present some of the old conjectures and related problems, and to complete them with some results and new conjectures from the recent work of the authors.
PB World Scientific Publishing Co.
SN 978-981-270-410-8
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/53145
UL https://hdl.handle.net/20.500.14352/53145
LA eng
NO Conference: Marseille Singularity School and Conference Location: CIRM, Luminy, France Date: Jan 24-Feb 25, 2005
NO OTKA
NO Marie Curie Fellowship
DS Docta Complutense
RD 14 dic 2025