# Torsion groups of elliptic surfaces

Compositio Mathematica (1989)

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

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topMiranda, 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

top- [AS] I.R. Shafarevich et al, Algebraic Surfaces. Proceedings of the Steklov Institute of Mathematics, Number 75 (1965).
- [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
- [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
- [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
- [M-P] R. Miranda and U. Persson, On Extremal Rational Elliptic Surfaces. Math. Zeitschrift193 (1986) 537-558. Zbl0652.14003MR867347
- [M-P 1] R. Miranda and U. Persson, Configurations of In fibers on elliptic K3 surfaces, Math. Zeitschrift201 (1989) 339-361. Zbl0694.14019MR999732
- [M-P 2] R. Miranda and U. Persson, Mordell-Weil groups of extremal K3 surfaces, to appear. Zbl0827.14013
- [N] V.V. Nikulin, Finite Automorphism groups of Kähler K3 surfaces. Trans. Moscoc Math. Soc., 1980, Issue 2, 71-135. Zbl0454.14017
- [P] U. Persson, Konfigurations of Kodaira fibers on rational elliptic surfaces, to appear in Math. Zeitschrift. Zbl0722.14021MR1069483
- [S] Tetsuji Shioda, On Elliptic Modular Surfaces, J. Math. Soc. Japan, vol. 24, No. 1 (1972) 20-59. Zbl0226.14013MR429918

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