Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896873 | Journal of Number Theory | 2018 | 13 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexandru Buium, Emma Previato,