15 citations · 47 across the 26 of their papers we have counts for
4 papers · 1 filter
Adjoints and Canonical Forms of Polypols
Kathlén Kohn, Ragni Piene, Kristian Ranestad +5
Polypols are natural generalizations of polytopes, with boundaries given by nonlinear algebraic hypersurfaces. We describe polypols in the plane and in 3-space that admit a unique…
Do alcoved lattice polytopes have unimodal h*-vector?
Rainer Sinn, Hannah Sjöberg
We show that h*-vectors of alcoved polytopes P in R^n (of Lie type A) are unimodal if they contain interior lattice points and their facets have lattice distance 1 to the set of in…
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…
Sums of Squares: A Real Projective Story
Grigoriy Blekherman, Rainer Sinn, Gregory G. Smith +1
The relationship between nonnegative polynomials and sums of squares is one of the central questions in real algebraic geometry. A modern approach is to look at nonnegative polynom…