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Isogenies of degree \(p\) of elliptic curves over local fields and Kummer theory.

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Publication:1812482
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DOI10.3836/tjm/1244208852zbMath1130.11324OpenAlexW2042550027MaRDI QIDQ1812482

Mayumi Kawachi

Publication date: 2002

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208852



Mathematics Subject Classification ID

Elliptic curves over local fields (11G07)


Related Items (6)

Divisibility results for zero-cycles ⋮ Abelian geometric fundamental groups for curves over a \(p\)-adic field ⋮ Weak approximation for 0-cycles on a product of elliptic curves ⋮ Leading coefficients of isogenies of degree \(p\) over \(\mathbb{Q}_{p}\) ⋮ Milnor \(K\)-groups attached to elliptic curves over a \(p\)-adic field ⋮ On Chow and Brauer groups of a product of Mumford curves




Cites Work

  • Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
  • Formal groups
  • Galois properties of points of finite order of elliptic curves
  • Algorithm for determining the type of a singular fiber in an elliptic pencil
  • ON THE DIVISION BY AN ISOGENY OF THE POINTS OF AN ELLIPTIC CURVE
  • Modeles de neron et monodromie
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item




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