AbstractIt is well known that a real algebraic surface is real rational if and only if it is complex rational and connected. In this paper, we give an explicit construction for a large class of surfaces that satisfy this criterion
AbstractFor a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a ra...
Abstract. We give necessary and sufficient topological conditions for a simple closed curve on a rea...
The algebraic ruled surface is a typical modeling surface in computer aided geometric design. In thi...
AbstractIt is well known that a real algebraic surface is real rational if and only if it is complex...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. Each of t...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. One parti...
Abstract. We show that real rational (over C) surfaces are quasi-simple, i.e., that such a surface i...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. One parti...
International audienceWe survey some results on real rational surfaces focused on their topology and...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
Abstract In this paper, we present a proper reparametrization algorithm for rational ruled surfaces....
Let K subset of R be a computable field. We present an algorithm to decide whether a proper rational...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
12 pagesWe construct real rational quasi-projective surfaces with positive dimensional algebraic mod...
12 pagesWe construct real rational quasi-projective surfaces with positive dimensional algebraic mod...
AbstractFor a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a ra...
Abstract. We give necessary and sufficient topological conditions for a simple closed curve on a rea...
The algebraic ruled surface is a typical modeling surface in computer aided geometric design. In thi...
AbstractIt is well known that a real algebraic surface is real rational if and only if it is complex...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. Each of t...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. One parti...
Abstract. We show that real rational (over C) surfaces are quasi-simple, i.e., that such a surface i...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. One parti...
International audienceWe survey some results on real rational surfaces focused on their topology and...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
Abstract In this paper, we present a proper reparametrization algorithm for rational ruled surfaces....
Let K subset of R be a computable field. We present an algorithm to decide whether a proper rational...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
12 pagesWe construct real rational quasi-projective surfaces with positive dimensional algebraic mod...
12 pagesWe construct real rational quasi-projective surfaces with positive dimensional algebraic mod...
AbstractFor a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a ra...
Abstract. We give necessary and sufficient topological conditions for a simple closed curve on a rea...
The algebraic ruled surface is a typical modeling surface in computer aided geometric design. In thi...