Add to ORKGInternational audienceWe introduce a new invariant, the real (logarithmic)-Kodaira dimension, that allows to distinguish smooth real algebraic surfaces up to birational diffeomorphism. As an application, we construct infinite families of smooth rational real algebraic surfaces with trivial homology groups, whose real loci are diffeomorphic to R-2, but which are pairwise not birationally diffeomorphic. There are thus infinitely many non-trivial models of the euclidean plane, contrary to the compact case
International audienceIn this article we study the transitivity of the group of automorphisms of rea...
International audienceWe survey some results on real rational surfaces focused on their topology and...
Abstract. We provide infinitely many examples of pairs of diffeomorphic, non simply connected Kähle...
International audienceWe introduce a new invariant, the real (logarithmic)-Kodaira dimension, that a...
We introduce a new invariant, the real (logarithmic)-Kodaira dimension, that allows to distinguish s...
International audienceWe study real rational models of the euclidean plane $\mathbb{R}^{2}$ up to is...
International audienceIn Dubouloz and Mangolte (Fake real planes: exotic affine algebraic models of ...
We study real rational models of the euclidean affine plane R2 up to isomorphisms and up to biration...
International audienceWe study smooth rational closed embeddings of the real affine line into the re...
We study real rational models of the euclidean plane $\mathbb{R}^2$ up to isomorphisms and up to bir...
In [8], we define and partially classify fake real planes, that is, minimal complex surfaces with con...
Report on a work in progress about the birational classification of double planes which are surfaces...
In this article we study nonsingular rational open surfaces of logarithmic Kodaira dimension zero wi...
We give an algebro-geometric classification of smooth real affine algebraic surfaces endowed with an...
This thesis consists of a summary and three articles. The thesis is devoted to the study of knots an...
International audienceIn this article we study the transitivity of the group of automorphisms of rea...
International audienceWe survey some results on real rational surfaces focused on their topology and...
Abstract. We provide infinitely many examples of pairs of diffeomorphic, non simply connected Kähle...
International audienceWe introduce a new invariant, the real (logarithmic)-Kodaira dimension, that a...
We introduce a new invariant, the real (logarithmic)-Kodaira dimension, that allows to distinguish s...
International audienceWe study real rational models of the euclidean plane $\mathbb{R}^{2}$ up to is...
International audienceIn Dubouloz and Mangolte (Fake real planes: exotic affine algebraic models of ...
We study real rational models of the euclidean affine plane R2 up to isomorphisms and up to biration...
International audienceWe study smooth rational closed embeddings of the real affine line into the re...
We study real rational models of the euclidean plane $\mathbb{R}^2$ up to isomorphisms and up to bir...
In [8], we define and partially classify fake real planes, that is, minimal complex surfaces with con...
Report on a work in progress about the birational classification of double planes which are surfaces...
In this article we study nonsingular rational open surfaces of logarithmic Kodaira dimension zero wi...
We give an algebro-geometric classification of smooth real affine algebraic surfaces endowed with an...
This thesis consists of a summary and three articles. The thesis is devoted to the study of knots an...
International audienceIn this article we study the transitivity of the group of automorphisms of rea...
International audienceWe survey some results on real rational surfaces focused on their topology and...
Abstract. We provide infinitely many examples of pairs of diffeomorphic, non simply connected Kähle...