6 citations · 14 across the 5 of their papers we have counts for
5 papers
Local H-Principles for Partial Holomorphic Relations
Luis Giraldo, Guillermo Sánchez Arellano
In this paper we introduce the notion of the realifications of an arbitrary \emph{partial holomorphic relation}. Our main result states that if any realification of an open partial…
Pulling back singularities of codimension one objects
Luis Giraldo, Roland Roeder
We prove that the preimage of a germ of a singular analytic hypersurface under a germ of a finite holomorphic map is again singul…
Completeness is determined by any non-algebraic trajectory
Alvaro Bustinduy, Luis Giraldo
It is proved that any polynomial vector field in two complex variables which is complete on a non-algebraic trajectory is complete.
On the singular scheme of codimension one holomorphic foliations in P^3
Luis Giraldo, Antonio J. Pan-Collantes
In this work, we begin by showing that a holomorphic foliation with singularities is reduced if and only if its normal sheaf is torsion free. In addition, when the codimension of t…
Flags in zero dimensional complete intersections and indices of real vector fields
L. Giraldo, X. Gomez-Mont, P. Mardesic
We introduce bilinear forms in a flag in a complete intersection local -algebra of dimension 0, related to the Eisenbud-Levine, Khimshiashvili bilinear form. We give a v…