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math.AG2021
Computing totally real hyperplane sections and linear series on algebraic curves
Huu Phuoc Le, Dimitri Manevich, Daniel Plaumann
Given a real algebraic curve, embedded in projective space, we study the computational problem of deciding whether there exists a hyperplane meeting the curve in real points only.…
math.AG2021
Families of faces and the normal cycle of a convex semi-algebraic set
Daniel Plaumann, Rainer Sinn, Jannik Lennart Wesner
We study families of faces for convex semi-algebraic sets via the normal cycle which is a semi-algebraic set similar to the conormal variety in projective duality theory. We propos…