Tropical representation of Weyl groups associated with certain rational varieties
| dc.creator | Tsuda, Teruhisa | |
| dc.creator | Takenawa, Tomoyuki | |
| dc.date | 2006-07-26 | |
| dc.date | 2008-12-09 | |
| dc.date.accessioned | 2026-07-07T12:10:20Z | |
| dc.date.available | 2026-07-07T12:10:20Z | |
| dc.description | Starting from certain rational varieties blown-up from (P^1)^N, we construct a tropical, i.e., subtraction-free birational, representation of Weyl groups as a group of pseudo isomorphisms of the varieties. Furthermore, we develop an algebro-geometric framework of tau-functions as defining functions of exceptional divisors on the varieties. In the case where the corresponding root system is of affine type, our construction yields a class of (higher order) q-difference Painleve equations and its algebraic degree grows quadratically. | |
| dc.description | 18 pages, 3 figures; corrected mainly in Sect.4 and 5 | |
| dc.identifier | https://arxiv.org/abs/math/0607661 | |
| dc.identifier | http://arxiv.org/abs/math/0607661 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209909 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E07; 14L30; 20F55; 34M55; 37K10; 39A13 | |
| dc.title | Tropical representation of Weyl groups associated with certain rational varieties | |
| dc.type | text |