Tropical Dynamics of Area-Preserving Maps
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2019
- DOI:
- 10.48550/arXiv.1903.00794
- arXiv:
- arXiv:1903.00794
- Bibcode:
- 2019arXiv190300794F
- Keywords:
-
- Mathematics - Dynamical Systems;
- Mathematics - Algebraic Geometry;
- 37E30;
- 37P50;
- 14T05
- E-Print:
- 58 pages, 15 figures. Accepted, Journal of Modern Dynamics