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math.AC2019
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 ,…
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.AC2019
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…