Search results for "Fibered knot"

showing 2 items of 12 documents

On the gonality and the slope of a fibered surface

2018

Abstract Let f : X → B be a locally non-trivial relatively minimal fibration of curves of genus g ≥ 2 . We obtain a lower bound of the slope λ ( f ) increasing with the gonality of the general fiber of f. In particular, we show that λ ( f ) ≥ 4 provided that f is non-hyperelliptic and g ≥ 16 .

Surface (mathematics)General Mathematics010102 general mathematicsFibrationFibered knot01 natural sciencesUpper and lower boundsCombinatoricsGenus (mathematics)0103 physical sciences010307 mathematical physicsFiber0101 mathematicsMathematicsAdvances in Mathematics
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Automorphisms of $mathbb{A}^{1}$-fibered affine surfaces

2011

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.

Surface (mathematics)Graph encodingPure mathematicsApplied MathematicsGeneral MathematicsFibered knotBirational geometryType (model theory)AutomorphismMathematics::Algebraic TopologyMathematics::Group TheoryMathematics::Algebraic GeometryAffine transformationddc:510Focus (optics)Mathematics::Symplectic GeometryMathematics
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