Adelic amoebas disjoint from open halfspaces
Algebraic Geometry
2008-12-07 v2 Dynamical Systems
Abstract
We show that a conjecture of Einsiedler, Kapranov, and Lind on adelic amoebas of subvarieties of tori and their intersections with open halfspaces of complementary dimension is false for subvarieties of codimension greater than one that have degenerate projections to smaller dimensional tori. We prove a suitably modified version of the conjecture using algebraic methods, functoriality of tropicalization, and a theorem of Zhang on torsion points in subvarieties of tori.
Keywords
Cite
@article{arxiv.0706.2438,
title = {Adelic amoebas disjoint from open halfspaces},
author = {Sam Payne},
journal= {arXiv preprint arXiv:0706.2438},
year = {2008}
}