Minimal degree rational curves on real surfaces

  title={Minimal degree rational curves on real surfaces},
  author={Niels Lubbes},
  journal={Advances in Mathematics},
  • Niels Lubbes
  • Published 13 June 2018
  • Mathematics
  • Advances in Mathematics
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
1 Citations
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  • J. Kollár
  • Mathematics, Computer Science
  • Ergebnisse der Mathematik und ihrer Grenzgebiete
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