Heights and isogenies of Drinfeld modules
| Autor: | Florian Breuer, Fabien Pazuki, Mahefason Heriniaina Razafinjatovo |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Isogeny
Pure mathematics Algebra and Number Theory Mathematics - Number Theory business.industry Mathematics::Number Theory 010102 general mathematics Modular design 01 natural sciences Upper and lower bounds Mathematics::Quantum Algebra FOS: Mathematics Rank (graph theory) Number Theory (math.NT) 0101 mathematics business 11G09 11G50 14G17 14G40 Mathematics |
| Popis: | 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. Acta Arithmetica |
| Databáze: | OpenAIRE |
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