English

3-dimensional sundials

Algebraic Geometry 2010-06-15 v2

Abstract

Robin Hartshorne and Alexander Hirschowitz proved that a generic collection of lines on Pn\mathbb P^n, n3n \geq 3, has bipolynomial Hilbert Function. We extended this result to a specialization of the collection of generic lines, by considering a union of lines and 33-dimensional sundials (i.e., a union of schemes obtained by degenerating pairs of skew lines).

Keywords

Cite

@article{arxiv.1006.2290,
  title  = {3-dimensional sundials},
  author = {Enrico Carlini and Maria Virginia Catalisano and Anthony V. Geramita},
  journal= {arXiv preprint arXiv:1006.2290},
  year   = {2010}
}
R2 v1 2026-06-21T15:35:00.356Z