2 citations · 4 across the 8 of their papers we have counts for
9 papers
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…
The depth of the associated graded ring of ideals with any reduction number
Ian Aberbach, Laura Ghezzi, Huy Tai Ha
Let R be a local Cohen-Macaulay ring, let I be an R-ideal, and let G be the associated graded ring of I. We give an estimate for the depth of G when G is not necessarily Cohen-Maca…
The regularity of points in multi-projective spaces
Huy Tai Ha, Adam Van Tuyl
Let I = p_1^{m_1} \cap ... \cap p_s^{m_s} be the defining ideal of a scheme of fat points in P^{n_1} x ... x P^{n_k} with support in generic position. When all the m_i's are 1, we…