English

Postulation of general quartuple fat point schemes in P^3

Algebraic Geometry 2011-05-04 v1

Abstract

We study the postulation of a general union YY of double, triple, and quartuple points of P3\mathbb{P}^3. We prove that YY has the expected postulation in degree d41d\ge 41, using the Horace differential lemma. We also discuss the cases of low degree with the aid of computer algebra.

Cite

@article{arxiv.0810.1372,
  title  = {Postulation of general quartuple fat point schemes in P^3},
  author = {Edoardo Ballico and Maria Chiara Brambilla},
  journal= {arXiv preprint arXiv:0810.1372},
  year   = {2011}
}

Comments

14 pages, to appear in J. Pure App. Algebra

R2 v1 2026-06-21T11:28:29.723Z