7 citations · 13 across the 23 of their papers we have counts for
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Complexity of Puiseux solutions of differential and -difference equations of order and degree one
José Cano Torres, Pedro Fortuny Ayuso, Javier Ribón
We relate the complexity of both differential and -difference equations of order one and degree one and their solutions. Our point of view is to show that if the solutions are c…
The Poincaré problem for reducible curves
Pedro Fortuny Ayuso, Javier Ribón
We provide sharp lower bounds for the multiplicity of a local holomorphic foliation defined in a complex surface in terms of data associated to a germ of invariant curve. Then we a…
Irreducibility criterion for singular hypersurfaces of
Pedro Fortuny Ayuso
Using vector fields we obtain an irreducibility criterion for hypersurfaces. It only requires the Weierstrass division.
Normal forms for hypersurface singularities
Pedro Fortuny Ayuso
We provide normal forms for singularities of analytic hypersurfaces in , using holomorphic vector fields.