The Euler top and canonical lifts
Number Theory
2017-08-09 v1
Abstract
In this note, we prove a finiteness result for fibers that are canonical lifts in a given elliptic fibration. The question was motivated by the authors' construction of an arithmetic Euler top, and it highlights an interesting discrepancy between the arithmetic and the classical case: in the former, it is impossible to extend the flows to a compactification of the phase space, viewed as an elliptic fibration over the space of action variables.
Keywords
Cite
@article{arxiv.1708.02558,
title = {The Euler top and canonical lifts},
author = {Alexandru Buium and Emma Previato},
journal= {arXiv preprint arXiv:1708.02558},
year = {2017}
}