Name
Abstract | ||
|---|---|---|
The monotone secant conjecture posits a rich class of polynomial systems, all of whose solutions are real. These systems come from the Schubert calculus on flag manifolds, and the monotone secant conjecture is a compelling generalization of the Shapiro conjecture for Grassmannians (theorem of Mukhin, Tarasov, and Varchenko). We present some theoretical evidence for this conjecture, as well as computational evidence obtained by 1.9 terahertz-years of computing, and we discuss some of the phenomena we observed in our data. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1080/10586458.2014.980044 | EXPERIMENTAL MATHEMATICS |
Keywords | Field | DocType |
Shapiro conjecture,Schubert calculus,flag manifold | Topology,Polynomial,Generalized flag variety,Mathematical analysis,Schubert calculus,Lonely runner conjecture,Conjecture,Collatz conjecture,Monotone polygon,Manifold,Mathematics | Journal |
Volume | Issue | ISSN |
24.0 | 3.0 | 1058-6458 |
Citations | PageRank | References |
1 | 0.36 | 6 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nickolas Hein | 1 | 6 | 1.54 |
| Christopher J. Hillar | 2 | 262 | 21.56 |
| Abraham Martín del Campo | 3 | 10 | 2.37 |
| Frank Sottile | 4 | 6 | 1.20 |
| Zach Teitler | 5 | 35 | 4.68 |