2 citations · 4 across the 8 of their papers we have counts for
9 papers · 1 filter
Cohen-Macaulay admissible clutters
Huy Tai Ha, Susan Morey, Rafael H. Villarreal
There is a one-to-one correspondence between square-free monomial ideals and clutters, which are also known as simple hypergraphs. It was conjectured that unmixed admissible clutte…
Cohen-Macaulay multigraded modules
C-Y. Jean Chan, Christine Cumming, Huy Tai Ha
Let S be a standard N^r-graded algebra over a local ring A, and let M be a finitely generated Z^r-graded S-module. We characterize the Cohen-Macaulayness of M in terms of the vanis…
Splittable ideals and the resolutions of monomial ideals
Huy Tai Ha, Adam Van Tuyl
We provide a new combinatorial approach to study the minimal free resolutions of edge ideals, that is, quadratic square-free monomial ideals. With this method we can recover most o…
Homology multipliers and the relation type of parameter ideals
Ian M. Aberbach, Laura Ghezzi, Huy Tai Ha
We study the relation type question, raised by C. Huneke, which asks whether for a complete equidimensional local ring R there exists a uniform bound for the relation type of param…
Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups
Huy Tai Ha, Ngo Viet Trung
This paper addresses problems related to the existence of arithmetic Macaulayfications of projective schemes. Let Y be the blow-up of a projective scheme X = Proj R along the ideal…
Asymptotic behaviour of the length of local cohomology
Steven Dale Cutkosky, Huy Tai Ha, Hema Srinivasan +1
Let k be a field of characteristic 0, R = k[x_1, ..., x_d] be a polynomial ring, and m its maximal homogeneous ideal. Let I be a homogeneous ideal in R. In this paper we investigat…