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2021 Divisorial Motivic Zeta Functions for Marked Stable Curves
Madeline Brandt, Martin Ulirsch
Michigan Math. J. Advance Publication 1-12 (2021). 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.

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Madeline Brandt. Martin Ulirsch. "Divisorial Motivic Zeta Functions for Marked Stable Curves." Michigan Math. J. Advance Publication 1 - 12, 2021. https://doi.org/10.1307/mmj/20195792

Information

Received: 4 September 2019; Revised: 16 April 2020; Published: 2021
First available in Project Euclid: 23 December 2020

Digital Object Identifier: 10.1307/mmj/20195792

Subjects:
Primary: 14H10

Rights: Copyright © 2021 The University of Michigan

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