Claus Scheiderer

activity

19982023

most citedQuillen property of real algebraic varieties

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

collaborators

29 papers

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.OA2022★ 4 cited

Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem

Igor Klep, Claus Scheiderer, Jurij Volčič

A noncommutative (nc) polynomial is called (globally) trace-positive if its evaluation at any tuple of operators in a tracial von Neumann algebra has nonnegative trace. Such polyno…

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.AG2019

Two remarks on sums of squares with rational coefficients

Jose Capco, Claus Scheiderer

There exist homogeneous polynomials $f$ with $Q$ -coefficients that are sums of squares over $R$ but not over $Q$ . The only systematic construction of such p…

math.AG2018★ 1 cited

Real tropicalization and analytification of semialgebraic sets

Philipp Jell, Claus Scheiderer, Josephine Yu

Let $K$ be a real closed field with a nontrivial non-archimedean absolute value. We study a refined version of the tropicalization map, which we call real tropicalization map, that…