Variation of the reduction type of elliptic curves under small base change with wild ramification
From MaRDI portal
Publication:1419665
DOI10.2478/BF02475181zbMath1135.11323OpenAlexW2040356059MaRDI QIDQ1419665
Publication date: 19 January 2004
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/bf02475181
Arithmetic ground fields for curves (14H25) Local ground fields in algebraic geometry (14G20) Ramification and extension theory (11S15) Elliptic curves over local fields (11G07)
Related Items (5)
Arithmetic statistics and Diophantine stability for elliptic curves ⋮ Maximal wild monodromy in unequal characteristic ⋮ RANK JUMPS AND GROWTH OF SHAFAREVICH–TATE GROUPS FOR ELLIPTIC CURVES IN -EXTENSIONS ⋮ Change of root numbers of elliptic curves under extension of scalars ⋮ Arithmetic statistics and noncommutative Iwasawa theory
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Néron's classification of elliptic curves of residue characteristics 2 and 3
- On the failure of semistability of elliptic curves with additive reduction
- Exercices dyadiques
- On the rank of an elliptic curve in elementary 2-extensions
- Local fields generated by 3-division points of elliptic curves.
- Dihedral extensions of degree 8 over the rational \(p\)-adic fields
- Good reduction of abelian varieties
- Galois properties of points of finite order of elliptic curves
- On the computation of all extensions of a 𝑝-adic field of a given degree
- An Elementary Test for the Galois Group of a Quartic Polynomial
- Effective Determination of the Decomposition of the Rational Primes in a Cubic Field
- On the Number of Galois p-Extensions of a Local Field
- Dyadic exercises for octahedral extensions
- Arithmetisch disjunkte K?per.
- ON A PROPERTY OF THE HASSE'S FUNCTION IN THE RAMIFICATION THEORY
- Groupes de ramification et représentations d'Artin
- The decomposition of primes in torsion point fields
- Factoring polynomials over local fields.
This page was built for publication: Variation of the reduction type of elliptic curves under small base change with wild ramification