Investigación

 

 

 

C/ Pirineos 55
28040 Madrid
SPAIN

Tel.: +34 91452 1100
Office: 413

 

 



 

Mi área de investigación son los sistemas dinámicos holomorfos. En especial, me interesa el estudio de las ecuaciones diferenciales complejas que tienen alguna solución entera.

Spanish / English

Artículos de Investigación

 

Algebraic foliations defined by complete vector fields
"Algebraic Methods in Dynamical Systems-dedicated to Michael Singer on his 60th birthday, Bedlewo (Poland), May 2010". Banach Center Publications.
Volumen 94. Institute of Mathematics. Polish Academy of Sciences (2011)
Abstract | Text | Review

Proper trajectories of type C* of a polynomial vector vector field on C2
Mathematische Annalen 351 (2011) 393-401
Abstract | Text | Arxiv| Review

Complete holomorphic vector fields on C2 whose underlying foliation is polynomial
International Journal of Mathematics 21, Issue 3 (2010) 333-347
Abstract | Text | Arxiv| Review

The completeness of a polynomial vector field is determined by a transcendental trajectory
Journal of Differential Equations 227 (2006) 282-300
Abstract | Text | Review

On the entire solutions of a polynomial vector field on C2
Indiana University Mathematics Journal 53 (2004) 647-666
Abstract | Text | Review

Zeroes of complete polynomial vector fields
Proceedings of the American Mathematical Society 131 (2003) 3767-3775.
Abstract | Text | Review

Prepublicaciones

 

Completeness is determined by a non-algebraic trajectory, con L. Giraldo
Sometido

Analytic automorphisms of C2 generated by polynomial vector fields
Sometido

Vector fields from polynomial maps in Cn with one dimensional fibers, con L. Giraldo y J. Muciño
En preparación

 

Tesis

 

Campos vectoriales holomorfos completos y condición jacobiana
Directores: Luis Giraldo Suárez (UCM) y Jesús Muciño Raymundo (UNAM)
Abstract | Text