Divisorial motivic zeta functions for marked stable curves

Published 11 Jul 2019 in math.AG | (1907.05125v1)

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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