Behrend's function is constant on Hilb^n(C^3)
Algebraic Geometry
2013-05-16 v2 Commutative Algebra
Abstract
We prove that Behrend's function is constant on Hilb^n(C^3). A calculation of motivic zeta functions shows the relevant Milnor fibers have zero Euler characteristic. As a corollary we see that Hilb^n(C^3) is generically reduced. These results extend to moduli schemes of points and curves on resolutions of ADE singularities C \times Y_G.
Cite
@article{arxiv.1212.3683,
title = {Behrend's function is constant on Hilb^n(C^3)},
author = {Andrew Morrison},
journal= {arXiv preprint arXiv:1212.3683},
year = {2013}
}
Comments
Removed following gap in proof of main result