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math.AG2012
Sums of squares of polynomials with rational coefficients
Claus Scheiderer
We construct families of explicit polynomials f with rational coefficients that are sums of squares of polynomials over the real numbers, but not over the rational numbers. Whether…
math.AG2012★ 3 cited
Semidefinite representation for convex hulls of real algebraic curves
Claus Scheiderer
We show that the closed convex hull of any one-dimensional semi-algebraic subset of R^n has a semidefinite representation, meaning that it can be written as a linear projection of…