6533b85cfe1ef96bd12bc771
RESEARCH PRODUCT
On the gonality and the slope of a fibered surface
Xin LuKang Zuosubject
Surface (mathematics)General Mathematics010102 general mathematicsFibrationFibered knot01 natural sciencesUpper and lower boundsCombinatoricsGenus (mathematics)0103 physical sciences010307 mathematical physicsFiber0101 mathematicsMathematicsdescription
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 .
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-01-01 | Advances in Mathematics |