3 citations · 5 across the 6 of their papers we have counts for
6 papers
Componentwise linearity of projective varieties with almost maximal degree
Doan Trung Cuong, Sijong Kwak
The degree of a projective subscheme has an upper bound in term of the codimension and the reduction number. If a projective variety has an almost maximal degree, that is, the degr…
The reduction number and degree bound of projective subschemes
Doan Trung Cuong, Sijong Kwak
In this paper, we prove the degree upper bound of projective subschemes in terms of the reduction number and show that the maximal cases are only arithmetically Cohen-Macaulay subs…
Hodge cohomology of étale Nori finite vector bundles
Doan Trung Cuong
Étale Nori finite vector bundles are those bundles defined by representations of a finite étale group scheme in the usual way. In this note we show that in many cases the dimension…
On the Structure of Sequentially Generalized Cohen-Macaulay Modules
Nguyen Tu Cuong, Doan Trung Cuong
A finitely generated module over a local ring is called a sequentially generalized Cohen-Macaulay module if there is a filtration of submodules of : $M_0\subset M_1\subset .…
On Sequentially Cohen-Macaulay Modules
Nguyen Tu Cuong, Doan Trung Cuong
In this paper we present characterizations of sequentially Cohen-Macaulay modules in terms of systems of parameters, which are generalizations of well-known results on Cohen-Macaul…
dd-sequences and partial Euler-Poincare' characteristics of Koszul complex
Nguyen Tu Cuong, Doan Trung Cuong
The aim of this paper is to introduce a new notion of sequences called dd-sequences and show that this notion may be convenient for studying the polynomial property of partial Eule…