1 citations · 2 across the 8 of their papers we have counts for
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Lines, Quadrics, and Cremona Transformations in Two-View Geometry
Erin Connelly, Rekha R. Thomas, Cynthia Vinzant
Given points , we characterize rank deficiency of the matrix with rows $x_i^\top \otimes y_i^\t…
Determinantal representations and the image of the principal minor map
Abeer Al Ahmadieh, Cynthia Vinzant
In this paper we explore determinantal representations of multiaffine polynomials and consequences for the image of various spaces of matrices under the principal minor map. We sho…
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…
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…
Differential signatures of algebraic curves
Irina A. Kogan, Michael Ruddy, Cynthia Vinzant
In this paper, we adapt the differential signature construction to the equivalence problem for complex plane algebraic curves under the actions of the projective group and its subg…
Computing Hermitian determinantal representations of hyperbolic curves
Daniel Plaumann, Rainer Sinn, David E. Speyer +1
Every real hyperbolic form in three variables can be realized as the determinant of a linear net of Hermitian matrices containing a positive definite matrix. Such representations a…