Given an admissible Hilbert function H, we first compute the closed subscheme BO(H) of BO whose K-rational points represent schemes such that their affine Hilbert function is dominated by H, and then the open subscheme BO(H) of BO(H) which is the locus where the affine Hilbert function is exactly H.
Oct 21, 2019 · A good way of parametrizing 0-dimensional schemes in an affine space \mathbb{A}_K^n has been developed in the last 20 years using border basis schemes.
A good way of parameterizing zero-dimensional schemes in an affine space 𝔸Kn has been developed in the last 20 years using border basis schemes.
Border basis schemes are open subschemes covering the Hilbert scheme of points. They are given by easily computable quadratic equations.
Oct 22, 2024 · A good way of parametrizing 0-dimensional schemes in an affine space A n K has been developed in the last 20 years using border basis schemes.
The key characteristic of this approach is that it describes loci which are contained in border basis schemes and whose rational points represent ...
Abstract: A good way of parameterizing zero-dimensional schemes in an affine space A K n has been developed in the last 20 years using border basis schemes ...
Computing Subschemes of the Border Basis Scheme - Martin Kreuzer, University of Passau. playlist_play. play_arrow pause.
PDF | A good way of parametrizing 0-dimensional schemes in an affine space $\mathbb{A}_K^n$ has been developed in the last 20 years using border basis.
Nov 27, 2023 · Abstract. Border basis schemes are open subschemes of Hilbert schemes parametrizing 0-dimensional subschemes of Pn of given length.