- Title
- Heights and isogenies of Drinfeld modules
- Creator
- Breuer, Florian; Pazuki, Fabien; Razafinjatovo, Mahefason Heriniaina
- Relation
- ACTA Arithmetica Vol. 197, Issue 2, p. 111-128
- Publisher Link
- http://dx.doi.org/10.4064/aa191029-8-7
- Publisher
- Polska Akademia Nauk * Instytut Matematyczny / Polish Academy of Sciences, Institute of Mathematics
- Resource Type
- journal article
- Date
- 2021
- Description
- We provide explicit bounds on the difference of heights of isogenous Drinfeld modules. We derive a finiteness result in isogeny classes. In the rank 2 case, we also obtain an explicit upper bound on the size of the coefficients of modular polynomials attached to Drinfeld modules.
- Subject
- Drinfeld modules; heights; isogenies; modular polynomials
- Identifier
- http://hdl.handle.net/1959.13/1433325
- Identifier
- uon:39218
- Identifier
- ISSN:0065-1036
- Language
- eng
- Reviewed
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