10 citations · 81 across the 59 of their papers we have counts for
6 papers · 1 filter
Families of \mathbb{A}^1-contractible affine threefolds
Adrien Dubouloz, Jean Fasel
We provide families of affine threefolds which are contractible in the unstable -homotopy category of Morel-Voevodsky and pairwise non-isomorphic, thus answering a que…
Affine-ruled varieties without the Laurent cancellation property
Adrien Dubouloz, Pierre-Marie Poloni
We describe a method to construct hypersurfaces of the complex affine -space with isomorphic -cylinders. Among these hypersurfaces, we find new explicit counterexa…
Explicit biregular/birational geometry of affine threefolds: completions of A^3 into del Pezzo fibrations and Mori conic bundles
Adrien Dubouloz, Takashi Kishimoto
We study certain pencils of del Pezzo surfaces generated by a smooth del Pezzo surface S of degree less or equal to 3 anti-canonically embedded into a weighted projective space P a…
Real frontiers of fake planes
Adrien Dubouloz, Frédéric Mangolte
In Dubouloz and Mangolte (Fake real planes: exotic affine algebraic models of , arXiv:1507.01574, 2015) we define and partially classify fake real planes, that is,…
Rigid affine surfaces with isomorphic A2-cylinders
Adrien Dubouloz
We construct families of smooth affine surfaces with pairwise non isomorphic A 1-cylinders but whose A 2-cylinders are all isomorphic. These arise as complements of cuspidal hyperp…
Fake Real Planes: exotic affine algebraic models of
Adrien Dubouloz, Frédéric Mangolte
We study real rational models of the euclidean plane up to isomorphisms and up to birational diffeomorphisms. The analogous study in the compact case, that is the cl…