14 citations · 30 across the 9 of their papers we have counts for
10 papers
The Recursion Formula for Mixed Multiplicities with respect to Joint Reductions
Duong Quoc Viet
This paper gives the recursion formula for mixed multiplicities of maximal degrees with respect to joint reductions of ideals, which is one of important results in the mixed multip…
Toward mixed multiplicities and joint reductions
Truong Thi Hong Thanh, Duong Quoc Viet
In the direction towards the question when mixed multiplicities are equal to the Hilbert-Samuel multiplicity of joint reductions, this paper not only generalizes [28, Theorem 3.1]…
Mixed Multiplicities of Maximal Degrees (J. Korean Math. Soc. 55 (2018), No. 3, 605-622)
Truong Thi Hong Thanh, Duong Quoc Viet
The original mixed multiplicity theory considered the class of mixed multiplicities concerning the terms of highest total degree in the Hilbert polynomial. This paper defines a bro…
Mixed multiplicities and the multiplicity of rees modules of reductions (published in j. Algebra appl.)
Truong Thi Hong Thanh, Duong Quoc Viet
This paper shows that mixed multiplicities and the multiplicity of Rees modules of good filtrations and that of their reductions are the same. As an application of this result, we…
The degree sequence of ideals and multiplicities
Duong Quoc Viet
This paper investigates the relationship between multiplicities and the degree sequence of ideals in graded algebras, gives multiplicity equations of graded rings via the degree se…
A Note on Formulas Transmuting Mixed Multiplicities
Duong Quoc Viet, Truong Thi Hong Thanh
This paper establishes mixed multiplicity formulas concerning the relationship between mixed multiplicities of modules and mixed multiplicities of rings via rank of modules.