Name
Abstract | ||
|---|---|---|
We introduce the notion of tropical defects, certificates that a system of polynomial equations is not a tropical basis, and provide two algorithms for finding them in affine spaces of complementary dimension to the zero set. We use these techniques to solve open problems regarding del Pezzo surfaces of degree 3 and realizability of valuated gaussoids on 4 elements. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s10801-019-00916-4 | JOURNAL OF ALGEBRAIC COMBINATORICS |
Keywords | Field | DocType |
Tropical geometry, Tropical basis, Computer algebra | Affine transformation,Algebra,Polynomial,Mathematical analysis,System of polynomial equations,Zero set,Realizability,Mathematics | Journal |
Volume | Issue | ISSN |
53 | 1 | 0925-9899 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Paul Görlach | 1 | 0 | 0.34 |
| Yue Ren | 2 | 1 | 3.90 |
| Jeff Sommars | 3 | 10 | 3.07 |