English

The Hilbert scheme of 11 points in A^3 is irreducible

Algebraic Geometry 2017-01-12 v1 Commutative Algebra

Abstract

We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on the Hilbert scheme.

Keywords

Cite

@article{arxiv.1701.03089,
  title  = {The Hilbert scheme of 11 points in A^3 is irreducible},
  author = {Theodosios Douvropoulos and Joachim Jelisiejew and Bernt Ivar Utstøl Nødland and Zach Teitler},
  journal= {arXiv preprint arXiv:1701.03089},
  year   = {2017}
}

Comments

33 pages, comments most welcome!