Publication: Intrinsic signs and lower bounds in real algebraic geometry
Intrinsic signs and lower bounds in real algebraic geometry
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Okonek, C., & Telemann, A. (2014). Intrinsic signs and lower bounds in real algebraic geometry. Journal Für Die Reine Und Angewandte Mathematik, 688, 219–241. https://doi.org/10.1515/crelle-2012-0055
Abstract
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Abstract
A classical result due to Segre states that on a real cubic surface in P3 R there exist two kinds of real lines: elliptic and hyperbolic lines. These two kinds of real lines are defined in an intrinsic way, i.e., their definition does not depend on any choices of orientation data. Segre's classification of smooth real cubic surfaces also shows that any such surface contains at least 3 real lines. Starting from these remarks and inspired by the classical problem mentioned above, our article has the following goals: (a) We explain a gen
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- Okonek, Christian
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Citations
Okonek, C., & Telemann, A. (2014). Intrinsic signs and lower bounds in real algebraic geometry. Journal Für Die Reine Und Angewandte Mathematik, 688, 219–241. https://doi.org/10.1515/crelle-2012-0055
