Motivic Hilbert zeta functions of curves are rational
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2017
- DOI:
- 10.48550/arXiv.1710.04198
- arXiv:
- arXiv:1710.04198
- Bibcode:
- 2017arXiv171004198B
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 16 pages, 2 figures. v2: Minor changes. Final version to appear in the Journal of the Institute of Mathematics of Jussieu