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arXiv · 1907.05125

Divisorial motivic zeta functions for marked stable curves

Madeline Brandt·Martin Ulirsch
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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. 2019-07-11. Divisorial motivic zeta functions for marked stable curves. https://arxiv.org/abs/1907.05125

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