Listar MAT_Articles por autoría "1ed19af9-3c43-46a7-af4d-c4c239bf6301"
Mostrando ítems 1-3 de 3
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On the computation of Darboux first integrals of a class of planar polynomial vector fields
Elsevier (2019-05)We study the class of planar polynomial vector fields admitting Darboux first integrals of the type I I r i=1 fiαi , where the αi 's are positive real numbers and the fi 's are polynomials defining curves with only one ... -
On the Degree of Curves with Prescribed Multiplicities and Bounded Negativity
Oxford University Press (2022-07-28)We provide a lower bound on the degree of curves of the projective plane P2 passing through the centers of a divisorial valuation ν of P2 with prescribed multiplicities, and an upper bound for the Seshadri-type constant ...
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The Poincaré problem, algebraic integrability and dicritical divisors
(2015-07-01)We solve the Poincaré problem for plane foliations with only one dicritical divisor. Moreover, in this case, we give a simple algorithm that decides whether a foliation has a rational first integral and computes it in the ...
