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math.AC2013
The closure of a linear space in a product of lines
Federico Ardila, Adam Boocher
Given a linear space L in affine space A^n, we study its closure L' in the product of projective lines (P^1)^n. We show that the degree, multigraded Betti numbers, defining equatio…
math.CO2013
Robust Graph Ideals
Adam Boocher, Bryan Christopher Brown, Timothy Duff +4
Let I be a toric ideal. We say I is robust if its universal Groebner basis is a minimal generating set. We show that any robust toric ideal arising from a graph G is also minimally…
math.AC2013
Robust Toric Ideals
Adam Boocher, Elina Robeva
We call an ideal in a polynomial ring robust if it can be minimally generated by a universal Gröbner basis. In this paper we show that robust toric ideals generated by quadrics are…