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We give an upper bound for the degree of rational curves in a family that covers a given birational ruled surface in projective space. The upper bound is stated in… Click to show full abstract
We give an upper bound for the degree of rational curves in a family that covers a given birational 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.
Keywords:
rational curves;
degree bound;
families rational;
bound families;
upper bound;
curves surfaces
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!