80 citations · 232 across the 22 of their papers we have counts for
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Computing Linear Matrix Representations of Helton-Vinnikov Curves
Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant
Helton and Vinnikov showed that every rigidly convex curve in the real plane bounds a spectrahedron. This leads to the computational problem of explicitly producing a symmetric (po…
Quartic Curves and Their Bitangents
Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant
A smooth quartic curve in the complex projective plane has 36 inequivalent representations as a symmetric determinant of linear forms and 63 representations as a sum of three squar…
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…