Takashi Ichikawa
Published 2022-09-12Version 1
We describe polylogarithms on families of pointed curves of any genus using the theory of the universal Mumford curve which is the family of all pointed Mumford curves. As an application of the result, we show that the polylogarithms are expressed by rational polylogarithms and multiple zeta values.
Comments: 15 pages, Sections 2 and 3 modify Sections 2 and 3 of arXiv:2010.11517. arXiv admin note: substantial text overlap with arXiv:2208.07013
Tau functions and KP solutions on families of algebraic curves
Gonality of algebraic curves and graphs
Multiple zeta values and periods of moduli spaces $\mathfrak{M}_{0,n}$
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