Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897243 | Journal of Pure and Applied Algebra | 2019 | 18 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Niels Lubbes,