

Automorphism groups of algebraic curves in positive characteristic.
De Maria Montanucci


The point-hyperplane geometry: relatively universal embeddings and associated codes
De Ilaria Cardinali
Apparaît dans la collection : Combinatorics and Arithmetic for Physics - 2020
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. This is a joint work with Danylo Radchenko, ETH (Zürich).