RESEARCH ARTICLES:


The cone of curves associated to a plane configuration (with C. Galindo), Commentarii Mathematici Helvetici 80 (2005), 75-93.

On the cone of curves and of line bundles of a rational surface (with C. Galindo), International Journal of Mathematics 15 no. 4 (2004), 393-407.

The total coordinate ring of a smooth projective surface (with C. Galindo), Journal of Algebra 284 no. 1 (2005), 91-101.

Algebraic integrability of foliations of the plane (with C. Galindo), Journal of Differential Equations 231 no. 2 (2006), 611-632.

Curves having one place at infinity and linear systems on rational surfaces, Journal of Pure and Applied Algebra 211 no. 3 (2007), 685-701.

Delta-sequences and evaluations codes defined by plane valuations at infinity (with C. Galindo), Proceedings of the London Mathematical Society 98 no. 3 (2009), 714-740.

Configurations of infinitely near points (with A. Campillo and G. González-Sprinberg), Sao Paulo Journal of Mathematical Sciences 3 no. 1 (2009), 115-160.

On the characterization of algebraically integrable plane foliations (with C. Galindo), Transactions of the American Mathematical Society 362, no. 9 (2010), 4557-4568.

The Poincaré series of multiplier ideals of a simple complete ideal in a regular local ring of a smooth surface (with C. Galindo), Advances in Mathematics 255 no. 2 (2010), 1046-1068.

Lins-Neto's examples of foliations and the Mori cone of blow-ups of P^2, Bulletin of the London Mathematical Society 43 no. 2 (2011), 335-346. PDF

Fibers of pencils of curves on smooth surfaces, International Journal of Mathematics 22 no. 10 (2011), 1433-1437.

Finite families of plane valuations: value semigroup, graded algebra and Poincaré series (with C. Galindo), Contemporary Mathematics 516 (2012), 189-212. PDF

The Abhyankar-Moh theorem for plane valuations at infinity (with C. Galindo), Journal of Algebra 374 (2013), 181-194. PDF

On the classification of exceptional planar functions over F_p (with F. Hernando and G. McGuire), Geometriae Dedicata 173 (2014), 1-35. PDF

The Poincaré problem, algebraic integrability and dicritical divisors (with C. Galindo), Journal of Differential Equations 256 no. 11 (2014), 3614-3633. PDF

Evaluation codes defined by finite families of plane valuations at infinity (with C. Galindo), Designs Codes and Criptography 70 no. 1-2 (2014), 189-213. PDF

A class of polynomial planar vector fields with polynomial first integral (with A. Ferragut and C. Galindo), Journal of Mathematical Analysis and Applications 430 (2015), 354-380. PDF

The log-canonical threshold of a plane curve (with C. Galindo and F. Hernando), Mathematical Proceedings of the Cambridge Philosophical Society 160.3 (2016), 513-535. PDF

The cone of curves and the Cox ring of rational surfaces given by divisorial valuations (with C. Galindo), Advances in Mathematics 290 (2016), 1040-1061. PDF

Minimal plane valuations (with C. Galindo and J. Moyano), Journal of Algebraic Geometry 27 (2018), no. 4, 751-783.

On the computation of Darboux first integrals of a class of planar polynomial vector fields (with A. Ferragut and C. Galindo), to appear in Journal of Mathematical Analysis and Applications.

Non-positive and negative at infinity divisorial valuations on Hirzebruch surfaces (with C. Galindo and C. J. Moreno-Ávila), to appear in Revista Matemática Complutense. ArXiv


PREPRINTS:


Newton-Okounkov bodies of exceptional curve valuations (with C. Galindo, J. J. Moyano-Fernández and M. Nickel). ArXiv

Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces (with C. Galindo and C. J. Moreno-Ávila). ArXiv

Quantum codes from a new construction of self-orthogonal algebraic geometry codes (with F. Hernando, G. McGuire and J. J. Moyano-Fernández).


OTHER:


PhD thesis: El cono de curvas asociado a una superficie racional. Poliedricidad (2003). Advisors: Antonio Campillo López and Carlos Galindo Pastor. PDF