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math.RA2022★ 3 cited
Spectrahedral Shadows and Completely Positive Maps on Real Closed Fields
Manuel Bodirsky, Mario Kummer, Andreas Thom
In this article we develop new methods for exhibiting convex semialgebraic sets that are not spectrahedral shadows. We characterize when the set of nonnegative polynomials with a g…
math.AG2022
Equivariant algebraic and semi-algebraic geometry of infinite affine space
Mario Kummer, Cordian Riener
We study -orbit closures of not necessarily closed points in the Zariski spectrum of the infinite polynomial ring $\mathbb{C}[x_{ij}:\, i\in\mathbb{N},\,j\in[…