1 citations · 2 across the 5 of their papers we have counts for
5 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…
Shape-Preserving Dimensionality Reduction : An Algorithm and Measures of Topological Equivalence
Byeongsu Yu, Kisung You
We introduce a linear dimensionality reduction technique preserving topological features via persistent homology. The method is designed to find linear projection which preserv…
Standard pairs of monomial ideals over non-normal affine semigroups in SageMath
Byeongsu Yu
We present stdPairs.spyx, a SageMath library to compute standard pairs of a monomial ideal over a pointed (non-normal) affine semigroup ring. Moreover, stdPairs.spyx provides the a…
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…