8 citations · 39 across the 23 of their papers we have counts for
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math.AG2010★ 1 cited
An elementary proof of Hilbert's theorem on ternary quartics
Albrecht Pfister, Claus Scheiderer
In 1888, Hilbert proved that every non-negative quartic form f=f(x,y,z) with real coefficients is a sum of three squares of quadratic forms. His proof was ahead of its time and use…
math.AG2010★ 3 cited
Convex hulls of curves of genus one
Claus Scheiderer
Let C be a real nonsingular affine curve of genus one, embedded in affine n-space, whose set of real points is compact. For any polynomial f which is nonnegative on C(R), we prove…
math.AG2010
The ring of bounded polynomials on a semi-algebraic set
Daniel Plaumann, Claus Scheiderer
Let V be a normal affine variety over the real numbers R, and let S be a semi-algebraic subset of V(R). We study the subring B(S) of the coordinate ring of V consisting of the poly…