7 papers
Associated primes and v-numbers of integral closures of powers of edge ideals
Trung Chau, Tai Huy Ha, Thanh Vu
Let be the edge ideal of a finite simple graph . We investigate the relationship between the associated primes and -numbers of powers and their integral clos…
Multiplicity Volume formula and Newton non-degenerate ideals in regular local rings
Tài Huy Hà, Thai Thanh Nguyen, Vinh Anh Pham
We develop the notions of Newton non-degenerate (NND) ideals and Newton polyhedra for regular local rings. These concepts were first defined in the context of complex analysis. We…
Asymptotic regularity of graded families of ideals
Tai Huy Ha, Hop D. Nguyen, Thai Thanh Nguyen
We show that the asymptotic regularity of a graded family of homogeneous ideals in a reduced standard graded algebra, i.e., the limit $\lim_{n \rightarrow \infty}…
Resurgence number and convex body associated to pairs of graded families of ideals
Tai Huy Ha, A. V. Jayanthan, Arvind Kumar +1
We discuss how to understand the asymptotic resurgence number of a pair of graded families of ideals from combinatorial data of their associated convex bodies. When the families co…
Resurgence number of graded families of ideals
Tài Huy Hà, Arvind Kumar, Hop D. Nguyen +1
We define the resurgence and asymptotic resurgence numbers associated to a pair of graded families of ideals in a Noetherian ring. These notions generalize the well-studied resurge…
Integral closures of powers of sums of ideals
Arindam Banerjee, Huy Tai Ha
Let be a field, let and be polynomial rings over , and let . Let and be monomial ideals. We establish a binomial ex…
Regular Sequences On Squares Of Monomial Ideals
Louiza Fouli, Tài Huy Hà, Susan Morey
We use initially regular sequences that consist of linear sums to explore the depth of , when is a monomial ideal in a polynomial ring . We give conditions under whic…