Type
ArticleAuthors
Lubbes, NielsDate
2019-01Permanent link to this record
http://hdl.handle.net/10754/668052
Metadata
Show full item recordAbstract
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.Citation
Lubbes, N. (2019). A degree bound for families of rational curves on surfaces. Journal of Pure and Applied Algebra, 223(1), 30–47. doi:10.1016/j.jpaa.2018.02.033Sponsors
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.Publisher
Elsevier BVarXiv
1402.2454Additional Links
https://linkinghub.elsevier.com/retrieve/pii/S0022404918300513ae974a485f413a2113503eed53cd6c53
10.1016/j.jpaa.2018.02.033