Conditional Euclidean distance optimization via relative tangency

We introduce a theory of relative tangency for projective algebraic varieties. The dual variety $X_Z^\vee$ of a variety $X$ relative to a subvariety $Z$ is the set of hyperplanes tangent to $X$ at a point of $Z$. We also introduce the concept of polar classes of $X$ relative to $Z$. We explore the d...

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Hauptverfasser:	Di Rocco, Sandra, Gustafsson, Lukas, Sodomaco, Luca
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry Mathematics - Optimization and Control
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