2024-03-29T09:56:44Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/360802021-06-24T07:40:43Zcom_10324_32197com_10324_952com_10324_894col_10324_32199
Campillo López, Antonio
Olivares, Jorge
2019-05-24T10:41:16Z
2019-05-24T10:41:16Z
2018
Journal of Singularities, 2018, vol. 18. p. 105-113
1949-2006
http://uvadoc.uva.es/handle/10324/36080
https://doi.org/10.5427/jsing.2018.18g
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.
eng
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
© 2018 Worldwide Center of Mathematics LLC
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Foliations by curves uniquely determined by minimal subschemes of its singularities
info:eu-repo/semantics/article