Numerical sections on elliptic surfaces

Ian Morrison; Ulf Persson

Compositio Mathematica (1986)

  • Volume: 59, Issue: 3, page 323-337
  • ISSN: 0010-437X

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Morrison, Ian, and Persson, Ulf. "Numerical sections on elliptic surfaces." Compositio Mathematica 59.3 (1986): 323-337. <http://eudml.org/doc/89790>.

@article{Morrison1986,
author = {Morrison, Ian, Persson, Ulf},
journal = {Compositio Mathematica},
keywords = {minimal complex elliptic surface over a smooth complete curve; Néron- Severi group; numerical sections},
language = {eng},
number = {3},
pages = {323-337},
publisher = {Martinus Nijhoff Publishers},
title = {Numerical sections on elliptic surfaces},
url = {http://eudml.org/doc/89790},
volume = {59},
year = {1986},
}

TY - JOUR
AU - Morrison, Ian
AU - Persson, Ulf
TI - Numerical sections on elliptic surfaces
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 59
IS - 3
SP - 323
EP - 337
LA - eng
KW - minimal complex elliptic surface over a smooth complete curve; Néron- Severi group; numerical sections
UR - http://eudml.org/doc/89790
ER -

References

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  1. [1] W. Barth, C. Peters, and A. Van de Ven, Compact Complex Surfaces. Berlin, Springer (1984). Zbl0718.14023MR354661
  2. [2] A. Beauville, Le nombre minimum de fibres singulieres d'une courbe stable sur P1. Asterisque86 (1981) 97-108. Zbl0502.14009
  3. [3] N. Bourbaki: Groupes et algebres de Lie Ch. IV, V, VI. Paris, Hermann (1968). MR240238
  4. [4] D.A. Cox: Mordell-Weil groups and inveriants of elliptic surfaces. (preprint). 
  5. [5] M. Demazure: A, B, C, D, E, F, etc., 221-227 in Seminaire sur les Singularities des Surfaces. Springer L.N.M.786 (1980). Zbl0431.15020
  6. [6] K. Kodaira: On compact analytic surfaces, II, III, Ann. of Math.77 (1963) 563-626; ibid.78 (1963) 1-40. Zbl0171.19601MR184257
  7. [7] Yu.I. Manin: The Tate height of points on an Abelian variety. Its variants and applications. A.M.S. Translations, Ser. 2, 59 (1966) 82-110. Zbl0192.26801
  8. [8] H.P. Miranda and U. Persson: On extremal rational elliptic surfaces. Uppsala University Department of Mathematics Report No. 1 (1985). Zbl0652.14003
  9. [9] I. Morrison and U. Persson: The group of sections on a rational elliptic surface. In: Open Problems in Algebraic Geometry, Springer, L.N.M.997 (1983). Zbl0518.14022MR714756
  10. [10] I.R. Shafarevich et al.: Algebraic Surfaces. Proc. Steklov Math. Inst.75 (1967). 
  11. [11] T. Shioda: On elliptic modular surfaces, J. Math. Soc. Japan24 (1972) 20-59. Zbl0226.14013MR429918
  12. [12] J. Tate: On the conjecture of Birch and Swinnerton-Dyer and a geometric analogue. Sem. Bourbaki, Exp. 306 (Feb. 1966) 1-26. Zbl0199.55604

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