Tropical moments of tropical Jacobians

نویسندگان

چکیده

Abstract Each metric graph has canonically associated to it a polarized real torus called its tropical Jacobian. A fundamental real-valued invariant each is moment. We give an explicit and efficiently computable formula for the moment of Jacobian in terms potential theory on underlying graph. show that there exists universal linear relation between moment, certain capacity tau invariant, total length To put our broader context, we relate work computation heights attached principally abelian varieties.

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ژورنال

عنوان ژورنال: Canadian Journal of Mathematics

سال: 2022

ISSN: ['1496-4279', '0008-414X']

DOI: https://doi.org/10.4153/s0008414x22000220