Preprint 42/2017

Schottky Algorithms: Classical meets Tropical

Lynn Chua, Mario Denis Kummer,and Bernd Sturmfels

Contact the author: Please use for correspondence this email.
Submission date: 27. Jul. 2017
Link to arXiv:See the arXiv entry of this preprint.

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.

07.10.2017, 01:42