Tran N. K. Linh

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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

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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.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.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.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…