arXiv subjects

Luis G. Maza

Publications and source records attributed to Luis G. Maza.

2 recordsLinked to original sources

arXiv2015

Engel theorem through singularities

We prove a singular version of the Engel theorem. We prove a normal form theorem for germs of holomorphic singular Engel systems with good conditions on its singular set. As an application, we prove that there exists an integral analytic curve passing through the singular points of the system. Also, we prove that a globally decomposable Engel system on a four dimensional projective space has singular set with atypical codimension.

math.CV↗

arXiv2014

Hypersurfaces Invariant by Pfaff Equations

We present results expressing conditions for the existence of meromorphic first integrals for Pfaff equations of arbitrary codimension, integrable or not, on complex manifolds. These results are in the same vein as previous ones by J-P. Jouanolou and E. Ghys. We also prove an enumerative result counting the number of hypersurfaces invariant by a projective holomorphic foliation with split tangent sheaf.

math.AG↗