2026-04-26T20:20:03Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/708332025-01-28T07:59:57Zcom_10324_1129com_10324_931com_10324_894col_10324_1193
UVaDOC
author
Molina Samper, Beatriz
2024-10-15T15:21:12Z
2024-10-15T15:21:12Z
2022
Moscow Mathematical Journal, 2022, vol. 22, n.3, 493--520
1609-4514
https://uvadoc.uva.es/handle/10324/70833
10.17323/1609-4514-2022-22-3-493-520
We prove that the isolated invariant branches of a weak toric type generalized curve de fined over a projective toric ambient sur-
faces extend to projective algebraic curves. To do it, we pass through the characterization of the weak toric type foliations in terms of "Newton non-degeneracy" conditions, in the classical sense of Kouchnirenko and Oka. Finally, under the strongest hypothesis of being a toric type foliation, we nd that there is a dichotomy: Either it has rational fi rst integral but does not have isolated invariant branches or it has finitely many global invariant curves and all of them are extending isolated invariant branches.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Foliación
Newton non-degenerate Foliations on Projective Toric Surfaces
info:eu-repo/semantics/article
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