Name
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. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1090/mcom/3406 | MATHEMATICS OF COMPUTATION |
Field | DocType | Volume |
Modular form,Matroid,Embedding,Algebra,Jacobian matrix and determinant,Mathematical analysis,Tropical geometry,Symmetric matrix,Schottky diode,Schottky problem,Mathematics | Journal | 88 |
Issue | ISSN | Citations |
319 | 0025-5718 | 0 |
PageRank | References | Authors |
0.34 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lynn Chua | 1 | 0 | 0.34 |
| Mario Kummer | 2 | 0 | 0.34 |
| Bernd Sturmfels | 3 | 926 | 136.85 |