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20 citations · 35 across the 11 of their papers we have counts for

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math.AC2021★ 1 cited

Integral closure of small powers of edge ideals and their regularity

Nguyen Cong Minh, Thanh Vu

Let be the edge ideal of a simple graph over a field k. We prove that for all . Furthermore, we provide a…

math.AC2021

Regularity of powers of Stanley-Reisner ideals of one-dimensional simplicial complexes

Nguyen Cong Minh, Thanh Vu

Let be a one-dimensional simplicial complex. Let be the Stanley-Reisner ideal of . We prove that for all and all intermediate ideals generated by …

math.AC2018

Homological invariants of powers of fiber products

Hop D. Nguyen, Thanh Vu

Let and be polynomial rings of positive dimensions over a field . Let be non-zero homogeneous ideals none of which contains a linear form. D…

math.AC2017

Products of ideals of linear forms in quadric hypersurfaces

Aldo Conca, Hop D. Nguyen, Thanh Vu

Conca and Herzog proved that any product of ideals of linear forms in a polynomial ring has a linear resolution. The goal of this paper is to establish the same result for any quad…

math.AC2013

Periodicity of betti numbers of monomial curves

Thanh Vu

Let be an arbitrary field. Let $\a = (a_1< ... <a_n)$ be a sequence of positive integers. Let $C(\a)$ be the affine monomial curve in parametrized by $t\to (t^{…

math.AC2013

property for third Veronese embeddings

Thanh Vu

The rational homology groups of the matching complexes are closely related to the syzygies of the Veronese embeddings. In this paper we will prove the vanishing of certain rational…