160 citations · 693 across the 40 of their papers we have counts for
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math.AG2002
The toric Hilbert scheme of a rank two lattice is smooth and irreducible
Diane Maclagan, Rekha R. Thomas
The toric Hilbert scheme of a lattice L in Z^n is the multigraded Hilbert scheme parameterizing all ideals in k[x_1,...,x_n] with Hilbert function value one for every degree in the…
math.CO2002
The Hilbert Zonotope and a Polynomial Time Algorithm for Universal Grobner Bases
Eric Babson, Shmuel Onn, Rekha Thomas
We provide a polynomial time algorithm for computing the universal Gröbner basis of any polynomial ideal having a finite set of common zeros in fixed number of variables. One ingre…
math.CO2002
Symmetric iterated Betti numbers
Eric Babson, Isabella Novik, Rekha Thomas
We define a set of invariants of a homogeneous ideal in a polynomial ring called the symmetric iterated Betti numbers of . For , the Stanley-Reisner ideal of a simplici…