English

On the study of decompositions of forms in four variables

Algebraic Geometry 2022-08-18 v1

Abstract

In the space of sextic forms in 4 variables with a decomposition of length 18 we determine and describe a closed subvariety which contains all non-identifiable sextics. The description of the subvariety is geometric, but one can derive from that an algorithm which can guarantee that a given form is identifiable.

Keywords

Cite

@article{arxiv.2208.08194,
  title  = {On the study of decompositions of forms in four variables},
  author = {Luca Chiantini},
  journal= {arXiv preprint arXiv:2208.08194},
  year   = {2022}
}