On the intersection with revolution and canal surfaces. - Mario Fioravanti; Laureano González-Vega; Ioana Necula (Algebraic Geometry and Geometric Modeling, 2006)

Computing the intersection of two ruled surfaces by using a new algebraic approach. - Mario Fioravanti; Laureano González-Vega; Ioana Necula (J. Symb. Comput., 2006)

Real implicitization of curves and geometric extraneous components. - Mario Fioravanti; Laureano González-Vega; Andreas Seidl (SNC, 2007)

Computing the topology of a real algebraic plane curve whose defining equations are available only "by values". - Robert M. Corless; Gema M. Diaz-Toca; Mario Fioravanti; Laureano González-Vega; Ignacio F. Rúa; Azar Shakoori (Comput. Aided Geom. Des., 2013)

Using implicit equations of parametric curves and surfaces without computing them: Polynomial algebra by values. - Gema M. Diaz-Toca; Mario Fioravanti; Laureano González-Vega; Azar Shakoori (Comput. Aided Geom. Des., 2013)

Computing the Topology of an Arrangement of Implicit and Parametric Curves Given by Values. - Jorge Caravantes; Mario Fioravanti; Laureano González-Vega; Ioana Necula (CASC, 2014)

Computing the topology of an arrangement of parametric or implicit algebraic curves in the Lagrange basis. - Mario Fioravanti; Laureano González-Vega; Jorge Caravantes (ACM Commun. Comput. Algebra, 2015)

Algebro-geometric analysis of bisectors of two algebraic plane curves. - Mario Fioravanti; J. Rafael Sendra (Comput. Aided Geom. Des., 2016)

An algebraic framework for computing the topology of offsets to rational curves. - Jorge Caravantes; Gema María Díaz-Toca; Mario Fioravanti; Laureano González-Vega; Ioana Necula (Comput. Aided Geom. Des., 2017)

Offsets to conics and quadrics: a new determinantal representation for their implicit equation. - Jorge Caravantes; Mario Fioravanti; Laureano González-Vega; Gema M. Diaz-Toca (ACM Commun. Comput. Algebra, 2018)

Solving the interference problem for ellipses and ellipsoids: New formulae. - Jorge Caravantes; Gema María Díaz-Toca; Mario Fioravanti; Laureano González-Vega (J. Comput. Appl. Math., 2022)

Relative position of a parabola or a hyperbola and an ellipse without computing intersection points. - Jorge Caravantes; Gema M. Diaz-Toca; Mario Fioravanti; Laureano González-Vega (CoRR, 2025)