---
_id: '66324'
abstract:
- lang: eng
  text: 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.
author:
- first_name: Madeline
  full_name: Brandt, Madeline
  last_name: Brandt
- first_name: Martin
  full_name: Ulirsch, Martin
  id: '114697'
  last_name: Ulirsch
citation:
  ama: Brandt M, Ulirsch M. Divisorial motivic zeta functions for marked stable curves.
    <i>arXiv:190705125</i>. Published online 2019.
  apa: Brandt, M., &#38; Ulirsch, M. (2019). Divisorial motivic zeta functions for
    marked stable curves. In <i>arXiv:1907.05125</i>.
  bibtex: '@article{Brandt_Ulirsch_2019, title={Divisorial motivic zeta functions
    for marked stable curves}, journal={arXiv:1907.05125}, author={Brandt, Madeline
    and Ulirsch, Martin}, year={2019} }'
  chicago: Brandt, Madeline, and Martin Ulirsch. “Divisorial Motivic Zeta Functions
    for Marked Stable Curves.” <i>ArXiv:1907.05125</i>, 2019.
  ieee: M. Brandt and M. Ulirsch, “Divisorial motivic zeta functions for marked stable
    curves,” <i>arXiv:1907.05125</i>. 2019.
  mla: Brandt, Madeline, and Martin Ulirsch. “Divisorial Motivic Zeta Functions for
    Marked Stable Curves.” <i>ArXiv:1907.05125</i>, 2019.
  short: M. Brandt, M. Ulirsch, ArXiv:1907.05125 (2019).
date_created: 2026-07-08T06:50:16Z
date_updated: 2026-07-08T06:50:26Z
external_id:
  arxiv:
  - '1907.05125'
language:
- iso: eng
publication: arXiv:1907.05125
status: public
title: Divisorial motivic zeta functions for marked stable curves
type: preprint
user_id: '82981'
year: '2019'
...