English

Postulation of lines in P3 revisited

Algebraic Geometry 2024-11-19 v1

Abstract

The purpose of the present note is to provide a new proof ot the well-known result due to Hartshorne and Hirschowitz to the effect that general lines in projective spaces have good postulation. Our approach uses specialization to a hyperplane and thus opens door to study postulation of general codimension 2 linear subspaces in projective spaces.

Keywords

Cite

@article{arxiv.2411.11379,
  title  = {Postulation of lines in P3 revisited},
  author = {Marcin Dumnicki and Mikolaj Le Van and Grzegorz Malara and Tomasz Szemberg and Justyna Szpond and Halszka Tutaj-Gasinska},
  journal= {arXiv preprint arXiv:2411.11379},
  year   = {2024}
}

Comments

17 pages, 1 figure