Torsion groups of elliptic surfaces

Rick Miranda; Ulf Persson

Compositio Mathematica (1989)

  • Volume: 72, Issue: 3, page 249-267
  • ISSN: 0010-437X

How to cite


Miranda, Rick, and Persson, Ulf. "Torsion groups of elliptic surfaces." Compositio Mathematica 72.3 (1989): 249-267. <>.

author = {Miranda, Rick, Persson, Ulf},
journal = {Compositio Mathematica},
keywords = {torsion group of the Mordell-Weil group of an elliptic curve; elliptic surfaces; Euler characteristic; singular fibres; size},
language = {eng},
number = {3},
pages = {249-267},
publisher = {Kluwer Academic Publishers},
title = {Torsion groups of elliptic surfaces},
url = {},
volume = {72},
year = {1989},

AU - Miranda, Rick
AU - Persson, Ulf
TI - Torsion groups of elliptic surfaces
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 72
IS - 3
SP - 249
EP - 267
LA - eng
KW - torsion group of the Mordell-Weil group of an elliptic curve; elliptic surfaces; Euler characteristic; singular fibres; size
UR -
ER -


  1. [AS] I.R. Shafarevich et al, Algebraic Surfaces. Proceedings of the Steklov Institute of Mathematics, Number 75 (1965). 
  2. [C] David Cox, Mordell-Weil Groups of Elliptic Curves over C(t) with pg = 0 or 1. Duke Math. Journal, vol. 49, No. 3 (1982) 677-689. Zbl0503.14018MR672502
  3. [C-P] David Cox and Walter Parry: Torsion in Elliptic Curves over k(t). Compositio Mathematica, vol. 41, Fasc. 3 (1980) 337-354. Zbl0442.14015MR589086
  4. [H-S] M. Hindry and J.H. Silverman, The canonical height and integral points on elliptic curves. Invent. Math. vol. 93, Fasc. 2 (1988) 419-440. Zbl0657.14018MR948108
  5. [M-P] R. Miranda and U. Persson, On Extremal Rational Elliptic Surfaces. Math. Zeitschrift193 (1986) 537-558. Zbl0652.14003MR867347
  6. [M-P 1] R. Miranda and U. Persson, Configurations of In fibers on elliptic K3 surfaces, Math. Zeitschrift201 (1989) 339-361. Zbl0694.14019MR999732
  7. [M-P 2] R. Miranda and U. Persson, Mordell-Weil groups of extremal K3 surfaces, to appear. Zbl0827.14013
  8. [N] V.V. Nikulin, Finite Automorphism groups of Kähler K3 surfaces. Trans. Moscoc Math. Soc., 1980, Issue 2, 71-135. Zbl0454.14017
  9. [P] U. Persson, Konfigurations of Kodaira fibers on rational elliptic surfaces, to appear in Math. Zeitschrift. Zbl0722.14021MR1069483
  10. [S] Tetsuji Shioda, On Elliptic Modular Surfaces, J. Math. Soc. Japan, vol. 24, No. 1 (1972) 20-59. Zbl0226.14013MR429918

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.