Reduction and isogenies of elliptic curves

Mentzelos Melistas

Reduction and isogenies of elliptic curves

Mentzelos Melistas

Mathematics of Operations Research

Research output: Working paper › Preprint › Academic

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Abstract

Let $R$ be a complete discrete valuation ring with fraction field $K$ and perfect residue field $k$ of characteristic $p>0$. Let $E/K$ be an elliptic curve with a $K$-rational isogeny of prime degree $\ell$. In this article, we study the possible Kodaira types of reduction that $E/K$ can have. We also prove some related results for elliptic curves over $\mathbb{Q}$.

Original language	English
Publication status	Published - 24 Oct 2023

Keywords

math.NT

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2310.15914v1Final published version, 222 KB

Reduction and isogenies of elliptic curves
Melistas, M., 19 Jun 2024, In: Acta arithmetica. 215, 2, p. 179-192 14 p.
Research output: Contribution to journal › Article › Academic › peer-review

Cite this

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BT - Reduction and isogenies of elliptic curves

ER -

Reduction and isogenies of elliptic curves

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Research output

Reduction and isogenies of elliptic curves

Cite this