Divisorial motivic zeta functions for marked stable curves
Algebraic Geometry
2019-07-12 v1
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.
Cite
@article{arxiv.1907.05125,
title = {Divisorial motivic zeta functions for marked stable curves},
author = {Madeline Brandt and Martin Ulirsch},
journal= {arXiv preprint arXiv:1907.05125},
year = {2019}
}
Comments
8 pages, 4 figures