21 citations
- Université de BourgogneFR13 papers
- Centre de Mathématiques Laurent SchwartzFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- École PolytechniqueFR1 paper
- Institut de recherche mathématique de RennesFR1 paper
- Institut FourierFR1 paper
- Jilin UniversityCN1 paper
- Laboratoire Analyse, Géométrie et ApplicationsFR1 paper
- Laboratoire de Mathématiques Blaise PascalFR1 paper
- Laboratoire de Mathématiques d'OrsayFR1 paper
- Laboratoire de Mathématiques Nicolas OresmeFR1 paper
- Mahindra United World College IndiaIN1 paper
5 papers · 1 filter
Automorphisms of A1-fibered surfaces
Jérémy Blanc, Adrien Dubouloz
We develop technics of birational geometry to study automorphisms of affine surfaces admitting many distinct rational fibrations, with a particular focus on the interactions betwee…
Inequivalent embeddings of the Koras-Russell cubic threefold
Adrien Dubouloz, Lucy Moser-Jauslin, Pierre-Marie Poloni
The Koras-Russell threefold is the hypersurface X of the complex affine four-space defined by the equation x^2y+z^2+t^3+x=0. It is well-known that X is smooth contractible and rati…
Factorial threefolds with Ga-actions
Adrien Dubouloz, David R. Finston, Parag Deepak Mehta
The affine cancellation problem, which asks whether complex affine varieties with isomorphic cylinders are themselves isomorphic, has a positive solution for two dimensional variet…
The Nagata automorphism is shifted linearizable
Stefan Maubach, Pierre-Marie Poloni
A polynomial automorphism is called {\em shifted linearizable} if there exists a linear map such that is linearizable. We prove that the Nagata automorphism $N:=(X-YΔ-…
Variations on Log Sarkisov Program for Surfaces
Adrien Dubouloz, Stéphane Lamy
Let (S, BS) be the log-pair associated with a compactification of a given smooth quasi-projective surface V . Under the assumption that the boundary BS is irreducible, we propose a…