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MiS Preprint

Schottky Algorithms: Classical meets Tropical

Lynn Chua, Mario Denis Kummer and Bernd Sturmfels


We present a new perspective on the Schottky problem that links numerical computing with tropical geometry. The task is to decide whether a symmetric matrix defines a Jacobian, and, if so, to compute the curve and its canonical embedding. We offer solutions and their implementations in genus four, both classically and tropically. The locus of cographic matroids arises from tropicalizing the Schottky-Igusa modular form.

Jul 27, 2017
Aug 3, 2017

Related publications

2019 Repository Open Access
Lynn Chua, Mario Kummer and Bernd Sturmfels

Schottky algorithms : classical meets tropical

In: Mathematics of computation, 88 (2019) 319, pp. 2541-2558