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math.AG2021
Characterizing principal minors of symmetric matrices via determinantal multiaffine polynomials
Abeer Al Ahmadieh, Cynthia Vinzant
Here we consider the image of the principal minor map of symmetric matrices over an arbitrary unique factorization domain . By exploiting a connection with symmetric determinant…
math.AG2021★ 1 cited
Invariant hyperbolic curves: determinantal representations and applications to the numerical range
Faye Pasley Simon, Cynthia Vinzant
Here we study the space of real hyperbolic plane curves that are invariant under actions of the cyclic and dihedral groups and show they have determinantal representations that cer…