Claus Scheiderer

activity

19982023

most citedQuillen property of real algebraic varieties

8 citations · 39 across the 23 of their papers we have counts for

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5 papers · 1 filter

math.OC2023

Convex hulls of monomial curves, and a sparse positivstellensatz

Gennadiy Averkov, Claus Scheiderer

Consider the closed convex hull $K$ of a monomial curve given parametrically as $(t^{m_{1}}, \dots, t^{m_{n}})$ , with the parameter $t$ varying in an interval $I$ . We show, using constr…

math.OC2020

Spectrahedral representation of polar orbitopes

Tim Kobert, Claus Scheiderer

Let $K$ be a compact Lie group and $V$ a finite-dimensional representation of $K$ . The orbitope of a vector $x \in V$ is the convex hull $O_{x}$ of the orbit $K x$ in $V$ . We…

math.OC2020

Second-order cone representation for convex subsets of the plane

Claus Scheiderer

Semidefinite programming (SDP) is the task of optimizing a linear function over the common solution set of finitely many linear matrix inequalities (LMIs). For the running time of…

math.OC2018★ 1 cited

Extreme points of Gram spectrahedra of binary forms

Claus Scheiderer

The Gram spectrahedron $Gram (f)$ of a form $f$ with real coefficients parametrizes the sum of squares decompositions of $f$ , modulo orthogonal equivalence. For $f$ a suffici…

math.OC2016

Spectrahedral shadows

Claus Scheiderer

We show that there are many (compact) convex semi-algebraic sets in euclidean space that do not have a semidefinite representation. This gives a negative answer to a question by Ne…