| RUS ENG |
| Полная версия |
|
|
|
| ВИДЕОТЕКА |
|
Международная конференция "Adian 90: Conference on Mathematical Logic, Algebra and Computation"
|
|||
|
|
|||
|
On a tropical version of the Jacobian conjecture D. Yu. Grigor'ev Institut des Mathématiques de Lille, France |
|||
|
Аннотация: We prove that, for a tropical rational map if for any point the convex hull of Jacobian matrices at smooth points in a neighborhood of the point does not contain singular matrices then the map is an isomorphism. We also show that a tropical polynomial map on the plane is an isomorphism if all the Jacobians have the same sign (positive or negative). In addition, for a tropical rational map we prove that if the Jacobians have the same sign and if its preimage is a singleton at least at one regular point then the map is an isomorphism. Joint work with Danylo Radchenko. Язык доклада: английский |
|||