4 citations · 7 across the 10 of their papers we have counts for
14 papers
Superlinear regularity of Frobenius powers on a normal hypersurface
Tran Nam Trung, Hoang Le Truong
We give answers to four questions on linear bounds for Frobenius powers. Let denote the homogeneous maximal ideal. We construct a height-two prime in a geometrica…
Hilbert-Kunz multiplicities of powers of ideals and normalized Hilbert coefficients
Tran Nam Trung, Hoang Le Truong
We give negative answers to two questions of Smirnov on Hilbert coefficients of Frobenius powers and Hilbert-Kunz multiplicities of ordinary powers. We construct complete normal Co…
Density functions for filtrations of graded ideals
Suprajo Das, Hoang Le Truong
We study density functions associated with filtrations of graded ideals in standard graded domains. Extending earlier work, we develop a general theory for arbitrary filtrations an…
The affine cones over Fano-Mukai fourfold of genus are flexible
Nguyen Thi Anh Hang, Hoang Le Truong
In this paper, we will show that the affine cones over any smooth Fano-Mukai fourfold of genus are flexible.
On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules
Nguyen Tu Cuong, Nguyen Tuan Long, Hoang Le Truong
This paper shows that if is a homomorphic image of a Cohen-Macaulay local ring, then -module is sequentially generalized Cohen-Macaulay if and only if the difference bet…
Flexibility of Affine cones over Mukai fourfolds of genus
Michael Hoff, Hoang Le Truong
We show that the affine cones over a general Fano-Mukai fourfold of genus , and are flexible. Equivalently, there is an infinitely transitive action of the special aut…
Classification and geometric properties of surfaces with property
Hoang Le Truong
Let be a closed subscheme of codimension in a projective space. One says that satisfies property , if the -th syzygies of the homogeneous coordinate r…
On the sectional genera and Cohen-Macaulay rings
Shinya Kumashiro, Hoang Le Truong, Hoang Ngoc Yen
We explore the behavior of the sectional genera of certain primary ideals in Noetherian local rings. In this paper, we provide characterizations of a Cohen-Macaulay local ring in t…
On the set of Chern numbers in local rings
Hoang Le Truong, Hoang Ngoc Yen
This paper purposes to characterize Noetherian local rings such that the Chern numbers of certain -primary ideals in bounded above or range am…
When are the Rees algebras of parameter ideals almost Gorenstein graded rings?
Shiro Goto, Rahimi Mehran, Naoki Taniguchi +1
Let be a Cohen-Macaulay local ring with , possessing the canonical module . Let be a sub…
Hilbert functions of socle ideals
Hoang Le Truong, Hoang Ngoc Yen
In this paper, we explore a relationship between Hilbert functions and the irreducible decompositions of ideals in local rings. Applications are given to characterize the regularit…
On the index of reducibility in Noetherian modules
Nguyen Tu Cuong, Pham Hung Quy, Hoang Le Truong
Let be a finitely generated module over a Noetherian ring and a submodule. The index of reducibility ir is the number of irreducible submodules that appear in an…
Huneke-Wiegand conjecture and change of rings
Shiro Goto, Ryo Takahashi, Naoki Taniguchi +1
Let be a Cohen-Macaulay local ring of dimension one with a canonical module . Let be a faithful ideal of . We explore the problem of when …
On a new invariant of finitely generated modules over local rings
Nguyen Tu Cuong, Doan Trung Cuong, Hoang Le Truong
Let be a finitely generated module on a local ring and $\F: M_0\subset M_1\subset...\subset M_t=M$ a filtration of submodules of such that , where…