Schottky Algorithms: Classical meets Tropical
Algebraic Geometry
2019-03-26 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1707.08520,
title = {Schottky Algorithms: Classical meets Tropical},
author = {Lynn Chua and Mario Kummer and Bernd Sturmfels},
journal= {arXiv preprint arXiv:1707.08520},
year = {2019}
}
Comments
17 pages