Motivic Hilbert zeta functions of curves are rational
Algebraic Geometry
2020-05-06 v2
Abstract
The motivic Hilbert zeta function of a variety is the generating function for classes in the Grothendieck ring of varieties of Hilbert schemes of points of the variety. In this paper, the motivic Hilbert zeta function of a reduced curve is shown to be rational.
Keywords
Cite
@article{arxiv.1710.04198,
title = {Motivic Hilbert zeta functions of curves are rational},
author = {Dori Bejleri and Dhruv Ranganathan and Ravi Vakil},
journal= {arXiv preprint arXiv:1710.04198},
year = {2020}
}
Comments
16 pages, 2 figures. v2: Minor changes. Final version to appear in the Journal of the Institute of Mathematics of Jussieu