2 papers
math.AC2023
Neighborly partitions, hypergraphs and Gordon's identities
Pooneh Afsharijoo, Hussein Mourtada
We prove a family of partition identities which is "dual" to the family of Andrews-Gordon's identities. These identities are inspired by a correspondence between a special type of…
math.AG2022
Groebner fan and embedded resolutions of ideals on toric varieties
Fuensanta Aroca, Mirna Gómez-Morales, Hussein Mourtada
We consider the notions of Groebner fan and Newton non-degeneracy for an ideal on a toric variety, extending the two existing notions for ideals on affine spaces. We prove, without…