May 2022 Divisorial Motivic Zeta Functions for Marked Stable Curves
Madeline Brandt, Martin Ulirsch
Michigan Math. J. 71(2): 271-282 (May 2022). DOI: 10.1307/mmj/20195792

Abstract

We define a divisorial motivic zeta function for stable curves with marked points, which agrees with Kapranov’s motivic zeta function when the curve is smooth and unmarked. We show that this zeta function is rational and give a formula in terms of the dual graph of the curve.

Citation

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Madeline Brandt. Martin Ulirsch. "Divisorial Motivic Zeta Functions for Marked Stable Curves." Michigan Math. J. 71 (2) 271 - 282, May 2022. https://doi.org/10.1307/mmj/20195792

Information

Received: 4 September 2019; Revised: 16 April 2020; Published: May 2022
First available in Project Euclid: 23 December 2020

MathSciNet: MR4484239
zbMATH: 1491.14046
Digital Object Identifier: 10.1307/mmj/20195792

Subjects:
Primary: 14H10

Rights: Copyright © 2022 The University of Michigan

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Vol.71 • No. 2 • May 2022
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