English

Linear systems in P^3 with low degrees and low multiplicities

Algebraic Geometry 2008-10-14 v1

Abstract

We prove that the linear system of hypersurfaces in P^3 of degree d, 14 <= d <= 40, with double, triple and quadruple points in general position are non-special. This solves the cases that have not been completed in a paper by E. Ballico and M.C. Brambilla.

Keywords

Cite

@article{arxiv.0810.2117,
  title  = {Linear systems in P^3 with low degrees and low multiplicities},
  author = {Marcin Dumnicki},
  journal= {arXiv preprint arXiv:0810.2117},
  year   = {2008}
}
R2 v1 2026-06-21T11:29:55.977Z