Tran N. K. Linh

activity

20162025

most citedKaehler differentials for fat point schemes in P^1xP^1

1 citations · 1 across the 8 of their papers we have counts for

collaborators

10 papers

math.AG2025

The Cayley-Bacharach property and the Levinson-Ullery conjecture

Ngoc Long Le, Tran N. K. Linh

In this paper, we study the geometric configurations of a finite set of points having the Cayley-Bacharach property in the $n$ -dimensional projective space $\bbP^n$. Our main contr…

math.AG2025

The Canonical Exact Sequence of Differential Modules for 0-Dimensional Schemes

Tran N. K. Linh, Le Ngoc Long

Given a 0-dimensional scheme $\X$ in $P_{K}^{n}$ over a perfect field $K$ , we examine the second differential power of its homogeneous vanishing ideal. This enables us to esta…

math.CO2024

Some line and conic arrangements and their Waldschmidt constants

Dinh Tuan Huynh, Tran N. K. Linh, Le Ngoc Long

We study the Waldschmidt constant of some configurations in the projective plane. In the first part, we show that the Waldschmidt constant of a set $X$ of $n$ points where…

math.AC2023

Differential theory of zero-dimensional schemes

Martin Kreuzer, Tran N. K. Linh, Le N. Long

For a 0-dimensional scheme $X$ in $P^{n}$ over a perfect field $K$ , we first embed the homogeneous coordinate ring $R$ into its truncated integral closure $\widetil…

math.AG2021

The Kähler Different of a Set of Points in $P^{m} \times P^{n}$

Tran N. K. Linh, Le N. Long, Nguyen T. Hoa +2

Given an ACM set $X$ of points in a multiprojective space $P^{m} \times P^{n}$ over a field of characteristic zero, we are interested in studying the Kähler di…

math.AG2020

Hilbert Polynomials of Kähler Differential Modules for Fat Point Schemes

Martin Kreuzer, Tran N. K. Linh, Le Ngoc Long

Given a fat point scheme $W = m_{1} P_{1} + \dots + m_{s} P_{s}$ in the projective $n$ -space $P^{n}$ over a field $K$ of characteristic zero, the modules of Kähler differential $k…

math.AC2019

An application of Liaison theory to zero-dimensional schemes

Martin Kreuzer, Tran N. K. Linh, Le Ngoc Long +1

Given a 0-dimensional scheme X in a n-dimensional projective space P^n_K over an arbitrary field K, we use Liaison theory to characterize the Cayley-Bacharach property of X. Our re…

math.AG2017

On the Dedekind different of a Cayley-Bacharach scheme

Martin Kreuzer, Tran N. K. Linh, Le Ngoc Long

Given a 0-dimensional scheme $X$ in a projective space $P_{K}^{n}$ over a field $K$ , we characterize the Cayley-Bacharach property of $X$ in terms of the alg…

math.AC2017

Kähler differential algebras for 0-dimensional schemes

Martin Kreuzer, Tran N. K. Linh, Le Ngoc Long

Given a 0-dimensional scheme in a projective space $P^{n}$ over a field $K$ , we study the Kähler differential algebra $Ω_{R / K}$ of its homogeneous coordinate ring $R$ . Using…

math.AG2016★ 1 cited

Kaehler differentials for fat point schemes in P^1xP^1

Elena Guardo, Martin Kreuzer, Tran N. K. Linh +1

Let $X$ be a set of $K$ -rational points in $P^{1} \times P^{1}$ over a field $K$ of characteristic zero, let $Y$ be a fat point scheme supported at $X$ , and let $R_{Y}$ be the bihomogen…

The Cayley-Bacharach property and the Levinson-Ullery conjecture

The Canonical Exact Sequence of Differential Modules for 0-Dimensional Schemes

Some line and conic arrangements and their Waldschmidt constants

Differential theory of zero-dimensional schemes

The Kähler Different of a Set of Points in Pm×Pn

Hilbert Polynomials of Kähler Differential Modules for Fat Point Schemes

An application of Liaison theory to zero-dimensional schemes

On the Dedekind different of a Cayley-Bacharach scheme

Kähler differential algebras for 0-dimensional schemes

Kaehler differentials for fat point schemes in P^1xP^1

The Kähler Different of a Set of Points in $P^{m} \times P^{n}$