Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties

✍ Scribed by J.R. Maurício Corrêa

• Publisher: Elsevier Science
• Year: 2010
• Tongue: French
• Weight: 148 KB
• Volume: 134
• Category: Article
• ISSN: 0007-4497
• DOI: 10.1016/j.bulsci.2010.07.001

✦ Synopsis

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 onedimensional foliations.