225 citations · 542 across the 32 of their papers we have counts for
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math.AG2010★ 34 cited
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…
math.AG2010★ 80 cited
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…