1 citations · 2 across the 5 of their papers we have counts for
5 papers
Degree-one foliations on complete intersections
Mateus Figueira, Crislaine Kuster, Ruben Lizarbe +1
We prove that, under mild restrictions, the space of codimension-one foliations of degree one on a smooth projective complete intersection has two irreducible components of logarit…
On the density of foliations without algebraic solutions on weighted projective planes
Ruben Lizarbe
We prove that a generic holomorphic foliation on a weighted projective plane has no algebraic solutions when the degree is big enough. We also prove an analogous result for foliati…
Logarithmic affine structures, parallelizable d-webs and normal forms
Ruben Lizarbe, Frank Loray
We study the local analytic classification of affine structures with logarithmic pole on complex surfaces. With this result in hand, we can get the local classification of the loga…
Codimension one foliations of degree three on projective spaces
Raphael Constant da Costa, Ruben Lizarbe, Jorge Vitório Pereira
We establish a structure theorem for degree three codimension one foliations on projective spaces of dimension , extending a result by Loray, Pereira, and Touzet for degree…
Affine connections on complex compact surfaces and Riccati distributions
Ruben Lizarbe
Let be a complex surface. We show that there is a one-to-one correspondence between torsion-free affine connections on and Riccati distributions on . Furthe…