2 citations · 5 across the 14 of their papers we have counts for
9 papers · 2 filters
On the asymptotic linearity of Castelnuovo-Mumford regularity
Ngo Viet Trung, Hsin-Ju Wang
Let R be a standard graded ring over a commutative Noetherian ring with unity and I a graded ideal of R. Let M be a finitely generated graded R-module. We prove that there exist in…
Hilbert polynomials of non-standard bigraded algebras
Nguyen Duc Hoang, Ngo Viet Trung
This paper is a systematic study of the Hilbert polynomial of a bigraded algebra R which are generated by elements of bidegrees (1,0), (d_1,1),...,(d_r,1), where d_1,...,d_r are no…
Positivity of mixed multiplicities
Ngo Viet Trung
This paper studies mixed multiplicities of an arbitrary standard bigraded algebra and mixed multiplicities of two ideals I, J in a local ring (A,m), where I is an m-primary ideal a…
Castelnuovo-Mumford regularity and extended degree
Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Valla
The main result of this paper shows that the Castelnuovo-Mumford regularity of the tangent cone of a local ring is effectively bounded by the dimension and any extended degree. Fro…
Specialization of modules over a local ring
Dam Van Nhi, Ngo Viet Trung
This paper is a continuation of an earlier paper of the authors on the probem of specializations of modules. The aim here is to define specialisations of finitely generated modules…
Specialization of modules
Dam Van Nhi, Ngo Viet Trung
Let R be a polynomial ring over k(u), where k is a field k and u is a finite family or inderterminates. The paper introduces the specialization of an arbitrary finitely generated R…