160 citations · 693 across the 40 of their papers we have counts for
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Ideals of the Multiview Variety
Sameer Agarwal, Andrew Pryhuber, Rekha Thomas
The multiview variety of an arrangement of cameras is the Zariski closure of the images of world points in the cameras. The prime vanishing ideal of this complex projective variety…
Nice Initial Complexes of Some Classical Ideals
Aldo Conca, Serkan Hosten, Rekha R. Thomas
This is a survey article on Gorenstein initial complexes of extensively studied ideals in commutative algebra and algebraic geometry. These include defining ideals of Segre and Ver…
Computing Groebner Fans
Komei Fukuda, Anders N. Jensen, Rekha R. Thomas
This paper presents algorithms for computing the Groebner fan of an arbitrary polynomial ideal. The computation involves enumeration of all reduced Groebner bases of the ideal. Our…
The Circuit Ideal of a Vector Configuration
Tristram Bogart, Anders N. Jensen, Rekha R. Thomas
The circuit ideal, $\ica$, of a configuration $\A = \{\a_1, ..., \a_n\} \subset \Z^d$ is the ideal generated by the binomials ${\x}^{\cc^+} - {\x}^{\cc^-} \in \k[x_1, ..., x_n]$ as…
Toric Initial Ideals of -Normal Configurations: Cohen-Macaulayness and Degree Bounds
Edwin O'Shea, Rekha R. Thomas
A normal (respectively, graded normal) vector configuration defines the toric ideal of a normal (respectively, projectively normal) toric variety. These ideals are Cohen-…