We use the existence of homogeneous coordinates for simplicial toric varieties to prove a result analogous to the Darboux-Jouanolou-Ghys integrability theorem for the existence of rational first integrals for one-dimensional foliations. © 2010 Elsevier Masson SAS.
Darboux-Jouanolou-Ghys integrability for one-dimensional foliations on toric varieties
MAURICIO BARROS CORREA JUNIOR
2010-01-01
Abstract
We use the existence of homogeneous coordinates for simplicial toric varieties to prove a result analogous to the Darboux-Jouanolou-Ghys integrability theorem for the existence of rational first integrals for one-dimensional foliations. © 2010 Elsevier Masson SAS.File in questo prodotto:
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