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| Home > Articles > Published articles > Foliations in algebraic surfaces having a rational first integral |
| Date: | 1997 |
| Abstract: | Given a foliation F in an algebraic surface having a rational first integral a genus formula for the general solution is obtained. In the case S = P2 some new counter-examples to the classic formulation of the Poincar'e problem are presented. If S is a rational surface and F has singularities of type (1, 1) or (1,−1) we prove that the general solution is a non-singular curve. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 41 n. 2 (1997) p. 357-373, ISSN 2014-4350 |
