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arXiv · 1710.04198

Motivic Hilbert zeta functions of curves are rational

Dori Bejleri·Dhruv Ranganathan·Ravi Vakil
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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.

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Dori Bejleri, Dhruv Ranganathan, Ravi Vakil. 2017-10-11. Motivic Hilbert zeta functions of curves are rational. https://doi.org/10.1017/s1474748018000269

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