3 papers
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.AC2024
Efficiently Checking Separating Indeterminates
Bernhard Andraschko, Martin Kreuzer, Le Ngoc Long
In this paper we continue the development of a new technique for computing elimination ideals by substitution which has been called -separating re-embeddings. Given an ideal …
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…