RT info:eu-repo/semantics/article
T1 Foliations by curves uniquely determined by minimal subschemes of its singularities
A1 Campillo López, Antonio
A1 Olivares, Jorge
K1 Foliations by curves
K1 Foliaciones por curvas
K1 Singular points
K1 Puntos singulares
AB It is well-known that a foliation by curves of degree greater than or equal to two, with isolated singularities, in the complex projective space of dimension greater than or equal to two, is uniquely determined by the scheme of its singular points. The main result in this paper is that the set of foliations which are uniquely determined by a subscheme (of the minimal possible degree) of its singular points, contains a nonempty Zariski-open subset. Our results hold in the projective space defined over any algebraically closed ground field.
PB Worldwide Center of Mathematics LLC
SN 1949-2006
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/36080
UL http://uvadoc.uva.es/handle/10324/36080
LA eng
NO Journal of Singularities, 2018,  vol. 18. p. 105-113
NO Producción Científica
DS UVaDOC
RD 20-abr-2024