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

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.

arXiv comment33 pages, comments most welcome!

References in corpus (2)

• Hilbert schemes of 8 points
• Irreducibility of the Gorenstein loci of Hilbert schemes via ray families

Cited by in corpus (1)

• On the smoothness of lexicographic points on Hilbert schemes