Name
Abstract | ||
|---|---|---|
Smooth tropical cubic surfaces are parametrized by maximal cones in the unimodular secondary fan of the triple tetrahedron. There are 344 843 867 such cones, organized into a database of 14 373 645 symmetry classes. The Schlafli fan gives a further refinement of these cones. It reveals all possible patterns of lines on tropical cubic surfaces, thus serving as a combinatorial base space for the universal Fano variety. This article develops the relevant theory and offers a blueprint for the analysis of big data in tropical geometry. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1007/s00454-020-00215-x | DISCRETE & COMPUTATIONAL GEOMETRY |
Keywords | DocType | Volume |
Tropical algebraic geometry,Regular triangulations,Polyhedral computation,Lines in cubic surfaces | Journal | 64.0 |
Issue | ISSN | Citations |
SP2.0 | 0179-5376 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Joswig | 1 | 112 | 15.41 |
| Marta Panizzut | 2 | 0 | 0.68 |
| Bernd Sturmfels | 3 | 926 | 136.85 |