On reality property of Wronski maps
| dc.creator | Mukhin, E. | |
| dc.creator | Tarasov, V. | |
| dc.creator | Varchenko, A. | |
| dc.date | 2007-10-31 | |
| dc.date | 2008-03-25 | |
| dc.date.accessioned | 2026-07-07T09:27:58Z | |
| dc.date.available | 2026-07-07T09:27:58Z | |
| dc.description | We prove that if all roots of the discrete Wronskian with step 1 of a set of quasi-exponentials with real bases are real, simple and differ by at least 1, then the complex span of this set of quasi-exponentials has a basis consisting of quasi-exponentials with real coefficients. This result generalizes the B. and M.Shapiro conjecture about spaces of polynomials. The proof is based on the Bethe ansatz method for the XXX model. | |
| dc.description | Latex, 20 pages | |
| dc.identifier | https://arxiv.org/abs/0710.5856 | |
| dc.identifier | http://arxiv.org/abs/0710.5856 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157294 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | On reality property of Wronski maps | |
| dc.type | text |