Torsion groups of elliptic surfaces

Rick Miranda; Ulf Persson

Compositio Mathematica (1989)

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

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Miranda, Rick, and Persson, Ulf. "Torsion groups of elliptic surfaces." Compositio Mathematica 72.3 (1989): 249-267. <http://eudml.org/doc/89991>.

@article{Miranda1989,
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 = {http://eudml.org/doc/89991},
volume = {72},
year = {1989},
}

TY - JOUR
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 - http://eudml.org/doc/89991
ER -

References

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  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

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