7 papers
The Kähler different of a 0-dimensional scheme
Le Ngoc Long
Given a 0-dimensional scheme in the projective -space over a field , we are interested in studying the Kähler different of and its…
The Kähler Different of a Set of Points in
Tran N. K. Linh, Le N. Long, Nguyen T. Hoa +2
Given an ACM set of points in a multiprojective space over a field of characteristic zero, we are interested in studying the Kähler di…
Hilbert Polynomials of Kähler Differential Modules for Fat Point Schemes
Martin Kreuzer, Tran N. K. Linh, Le Ngoc Long
Given a fat point scheme in the projective -space over a field of characteristic zero, the modules of Kähler differential $k…
Computing subschemes of the border basis scheme
Martin Kreuzer, Le Ngoc Long, Lorenzo Robbiano
A good way of parametrizing 0-dimensional schemes in an affine space has been developed in the last 20 years using border basis schemes. Given a multiplicity ,…
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…
Algorithms for Checking Zero-Dimensional Complete Intersections
Martin Kreuzer, Le Ngoc Long, Lorenzo Robbiano
Given a 0-dimensional affine K-algebra R=K[x_1,...,x_n]/I, where I is an ideal in a polynomial ring K[x_1,...,x_n] over a field K, or, equivalently, given a 0-dimensional affine sc…