4 papers
Cremona transformations and diffeomorphisms of surfaces
János Kollár, Frédéric Mangolte
We show that the action of Cremona transformations on the real points of quadrics exhibits the full complexity of the diffeomorphisms of the sphere, the torus, and of all non-orien…
Topological types of real regular jacobian elliptic surfaces
Frédéric Bihan, Frédéric Mangolte
We present the topological classification of real parts of real regular elliptic surfaces with a real section.
Every connected sum of lens spaces is a real component of a uniruled algebraic variety
Johannes Huisman, Frédéric Mangolte
Let M be a connected sum of finitely many lens spaces, and let N be a connected sum of finitely many copies of S^1xS^2. We show that there is a uniruled algebraic variety X such th…
Real algebraic morphisms on 2-dimensional conic bundles
Frederic Mangolte
Given two nonsingular real algebraic varieties V and W, we consider the problem of deciding whether a smooth map f: V -> W can be approximated by regular maps in the space of smoot…