# Minimal degree rational curves on real surfaces

@article{Lubbes2019MinimalDR, title={Minimal degree rational curves on real surfaces}, author={Niels Lubbes}, journal={Advances in Mathematics}, year={2019} }

We classify real families of minimal degree rational curves that cover an embedded rational surface. A corollary is that if the projective closure of a smooth surface is not biregular isomorphic to the projective closure of the unit-sphere, then the set of minimal degree rational curves that cover the surface is either empty or of dimension at most two. Moreover, if these curves are of minimal degree over the real numbers, but not over the complex numbers, then almost all the curves are smooth… Expand

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Webs of rational curves on real surfaces and a classification of real weak del Pezzo surfaces

- Mathematics
- 2018

We classify webs of minimal degree rational curves on surfaces and give a criterion for webs being hexagonal. In addition, we classify Neron-Severi lattices of real weak del Pezzo surfaces. These two… Expand

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