On the characterization of algebraically integrable plane foliations
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Title
On the characterization of algebraically integrable plane foliationsDate
2010Publisher
American Mathematical SocietyISSN
0002-9947Bibliographic citation
GALINDO, C.; MONSERRAT, F. On the characterization of algebraically integrable plane foliations. Transactions of the American Mathematical Society, 2010, vol. 362, no 9, p. 4557-4568Type
info:eu-repo/semantics/articlePublisher version
https://www.ams.org/journals/tran/2010-362-09/S0002-9947-10-04808-7/Version
info:eu-repo/semantics/submittedVersionSubject
Abstract
We give a characterization theorem for non-degenerate plane foliations of degree different from 1 having a rational first integral. Moreover, we
prove that the degree of a non-degenerate foliation as above provides ... [+]
We give a characterization theorem for non-degenerate plane foliations of degree different from 1 having a rational first integral. Moreover, we
prove that the degree of a non-degenerate foliation as above provides the minimum number, , of points in the projective plane through which pass infinitely many algebraic leaves of the foliation [-]
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Transactions of the American Mathematical Society, 2010, vol. 362, no. 9Rights
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