On the characterization of algebraically integrable plane foliations TeX Export

@article{citeulike:3788846, abstract = {We give a characterization theorem for non-degenerated plane foliations of degree different from 1 having a rational first integral. Moreover, we prove that the degree \$r\$ of a non-degenerated foliation as above provides the minimum number, \$r+1\$, of points in the projective plane through which infinitely many algebraic leaves of the foliation go.}, archivePrefix = {arXiv}, author = {Galindo, C. and Monserrat, F.}, citeulike-article-id = {3788846}, citeulike-linkout-0 = {http://arxiv.org/abs/0812.2434}, citeulike-linkout-1 = {http://arxiv.org/pdf/0812.2434}, eprint = {0812.2434}, keywords = {foliations, integrability, polynomial\_vector\_fields}, month = {Dec}, posted-at = {2008-12-15 07:09:13}, priority = {3}, title = {On the characterization of algebraically integrable plane foliations}, url = {http://arxiv.org/abs/0812.2434}, year = {2008} }

TY - JOUR ID - citeulike:3788846 L3 - citeulike-article-id:3788846 N2 - We give a characterization theorem for non-degenerated plane foliations of degree different from 1 having a rational first integral. Moreover, we prove that the degree $r$ of a non-degenerated foliation as above provides the minimum number, $r+1$, of points in the projective plane through which infinitely many algebraic leaves of the foliation go. TI - On the characterization of algebraically integrable plane foliations KW - foliations KW - integrability KW - polynomial_vector_fields AU - Galindo, C AU - Monserrat, F PY - 2008/Dec/12/ UR - http://arxiv.org/abs/0812.2434 ER -