Waring decompositions of special ternary forms with different Hilbert functions
Algebraic Geometry
2023-03-30 v1 Commutative Algebra
Abstract
We prove the existence of ternary forms admitting apolar sets of points of cardinality equal to the Waring rank, but having different Hilbert function and different regularity. This is done exploiting liaison theory and Cayley-Bacharach properties for sets of points in the projective plane
Keywords
Cite
@article{arxiv.2303.06780,
title = {Waring decompositions of special ternary forms with different Hilbert functions},
author = {Elena Angelini and Luca Chiantini and Alessandro Oneto},
journal= {arXiv preprint arXiv:2303.06780},
year = {2023}
}
Comments
12 pages. Comments are welcome!