3 papers
math.AG2024
Plane quartics and heptagons
Daniele Agostini, Daniel Plaumann, Rainer Sinn +1
Every polygon with n vertices in the complex projective plane is naturally associated with its adjoint curve of degree n-3. Hence the adjoint of a heptagon is a plane quartic. We p…
math.AG2021
Lectures on Nonnegative Polynomials and Sums of Squares
Grigoriy Blekherman, Jannik Wesner
These lecture notes provide an informal introduction to the theory of nonnegative polynomials and sums of squares. We highlight the history and some recent developments, especially…
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…