Tropical Dynamics of Area-Preserving Maps
Dynamical Systems
2019-03-05 v1 Algebraic Geometry
Abstract
We consider a class of area-preserving, piecewise affine maps on the 2-sphere. These maps encode degenerating families of K3 surface automorphisms and are profitably studied using techniques from tropical and Berkovich geometries.
Keywords
Cite
@article{arxiv.1903.00794,
title = {Tropical Dynamics of Area-Preserving Maps},
author = {Simion Filip},
journal= {arXiv preprint arXiv:1903.00794},
year = {2019}
}
Comments
58 pages, 15 figures. Accepted, Journal of Modern Dynamics