6533b7d4fe1ef96bd12629a1
RESEARCH PRODUCT
Automorphisms of $mathbb{A}^{1}$-fibered affine surfaces
Adrien DuboulozJérémy BlancJérémy Blancsubject
Surface (mathematics)Graph encodingPure mathematicsApplied MathematicsGeneral MathematicsFibered knotBirational geometryType (model theory)AutomorphismMathematics::Algebraic TopologyMathematics::Group TheoryMathematics::Algebraic GeometryAffine transformationddc:510Focus (optics)Mathematics::Symplectic GeometryMathematicsdescription
We develop technics of birational geometry to study automorphisms of affine surfaces admitting many distinct rational fibrations, with a particular focus on the interactions between automorphisms and these fibrations. In particular, we associate to each surface S of this type a graph encoding equivalence classes of rational fibrations from which it is possible to decide for instance if the automorphism group of S is generated by automorphisms preserving these fibrations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-11-01 |