19 citations · 36 across the 23 of their papers we have counts for
33 papers
A Generalization of the Ishida Complex with applications
Laura Felicia Matusevich, Erika Ordog, Byeongsu Yu
We construct a generalize Ishida complex to compute the local cohomology with monomial support of modules over quotients of polynomial rings by cellular binomial ideals. As a conse…
Graded local cohomology of modules over semigroup rings
Byeongsu Yu, Laura Felicia Matusevich
We give a combinatorial description of local cohomology modules of a graded module over a semigroup ring, with support at the graded maximal ideal. This combinatorial framework yie…
Differential operators, retracts, and toric face rings
Christine Berkesch, C-Y. Jean Chan, Patricia Klein +3
We give explicit descriptions of rings of differential operators of toric face rings in characteristic . For quotients of normal affine semigroup rings by radical monomial ideal…
Wheels: A New Criterion for Non-convexity of Neural Codes
Laura Matusevich, Alexander Ruys de Perez, Anne Shiu
We introduce new geometric and combinatorial criteria that preclude a neural code from being convex, and use them to tackle the classification problem for codes on six neurons. Alo…
An illustrated view of differential operators of a reduced quotient of an affine semigroup ring
Christine Berkesch, C-Y. Jean Chan, Patricia Klein +3
Through examples, we illustrate how to compute differential operators on a quotient of an affine semigroup ring by a radical monomial ideal, when working over an algebraically clos…
Standard pairs for monomial ideals in semigroup rings
Laura Felicia Matusevich, Byeongsu Yu
We extend the notion of standard pairs to the context of monomial ideals in semigroup rings. Standard pairs can be used as a data structure to encode such monomial ideals, providin…