TY - JOUR
T1 - A degree bound for families of rational curves on surfaces
AU - Lubbes, Niels
N1 - KAUST Repository Item: Exported on 2021-03-11
Acknowledgements: I would like to thank Josef Schicho for useful discussions. This work was supported by base funding of the King Abdullah University of Science and Technology.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2019/1
Y1 - 2019/1
N2 - We give an upper bound for the degree of rational curves in a family that covers a given birationally ruled surface in projective space. The upper bound is stated in terms of the degree, sectional genus and arithmetic genus of the surface. We introduce an algorithm for constructing examples where the upper bound is tight. As an application of our methods we improve an inequality on lattice polygons.
AB - We give an upper bound for the degree of rational curves in a family that covers a given birationally ruled surface in projective space. The upper bound is stated in terms of the degree, sectional genus and arithmetic genus of the surface. We introduce an algorithm for constructing examples where the upper bound is tight. As an application of our methods we improve an inequality on lattice polygons.
UR - http://hdl.handle.net/10754/668052
UR - https://linkinghub.elsevier.com/retrieve/pii/S0022404918300513
UR - http://www.scopus.com/inward/record.url?scp=85042644296&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2018.02.033
DO - 10.1016/j.jpaa.2018.02.033
M3 - Article
SN - 0022-4049
VL - 223
SP - 30
EP - 47
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 1
ER -