Reduction and isogenies of elliptic curves

DOI10.4064/AA230929-17-4MaRDI QIDQ6606880

Mentzelos Melistas

Publication date: 17 September 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

zbMATH Keywords

isogenyelliptic curveKodaira type

Mathematics Subject Classification ID

Varieties over finite and local fields (11G25) Elliptic curves over local fields (11G07)

Cites Work

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• On the field of definition of \(p\)-torsion points on elliptic curves over the rationals
• On Néron's classification of elliptic curves of residue characteristics 2 and 3
• A note on elliptic curves with a rational 3-torsion point
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• Variation of the reduction type of elliptic curves under small base change with wild ramification
• Tamagawa numbers of elliptic curves with prescribed torsion subgroup or isogeny
• \(\mathbb{Q}\)-curves over odd degree number fields
• Models of curves and wild ramification
• Purely additive reduction of abelian varieties with torsion
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• The Arithmetic of Elliptic Curves
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Determinants of subquotients of Galois representations associated with abelian varieties
• On elliptic curves with p-isogenies over quadratic fields
• Reduction types of CM curves

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