Indices of double coverings of genus 1 over p -adic fields

Jan Van Geel; Vyacheslav Yanchevskii

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 1, page 155-172
  • ISSN: 0240-2963

How to cite

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Van Geel, Jan, and Yanchevskii, Vyacheslav. "Indices of double coverings of genus 1 over $p$-adic fields." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.1 (1999): 155-172. <http://eudml.org/doc/73476>.

@article{VanGeel1999,
author = {Van Geel, Jan, Yanchevskii, Vyacheslav},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {double coverings of genus 1; local non-dyadic field; monic polynomial; index; elliptic curves},
language = {eng},
number = {1},
pages = {155-172},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Indices of double coverings of genus 1 over $p$-adic fields},
url = {http://eudml.org/doc/73476},
volume = {8},
year = {1999},
}

TY - JOUR
AU - Van Geel, Jan
AU - Yanchevskii, Vyacheslav
TI - Indices of double coverings of genus 1 over $p$-adic fields
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1999
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 1
SP - 155
EP - 172
LA - eng
KW - double coverings of genus 1; local non-dyadic field; monic polynomial; index; elliptic curves
UR - http://eudml.org/doc/73476
ER -

References

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  1. [1] Borevich ( Z.I.) and Shafarevich ( I.R.) .— Number theory, Academic press, New York, 1966. Zbl0145.04902MR195803
  2. [2] Lichtenbaum ( S.) .- Duality theorems for curves over p-adic fieldsInvent. Math.7 (1969), pp. 120-136. Zbl0186.26402MR242831
  3. [3] Scharlau ( W.) .— Quadratic and Hermitian Forms, Springer-Verlag, Heidelberg, 1985. Zbl0584.10010MR770063
  4. [4] Serre ( J.-P.) .— Corps locaux, Hermann, Paris, 1963. Zbl0137.02601MR354618
  5. [5] Van Geel ( J.) and Yanchevskii ( V.I.) .— Indices of hyperelliptic curves over p-adic fields, Manuscripta Math.96 (1998), pp. 317-333. Zbl1015.11023MR1638165
  6. [6] Yanchevskii ( V.) and Margolin ( G.) .— Brauer Groups of Local Elliptic and Hyperelliptic Curves and Central Division Algebras over their Function Fields, St. Petersburg Math. J.7, No 6 (1996), pp. 1033-1048. Zbl0871.13002MR1381984

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