3 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 -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 over a perfect field , 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 of points where…