Root numbers of fibers of elliptic surfaces

Elisabetta Manduchi

Compositio Mathematica (1995)

  • Volume: 99, Issue: 1, page 33-58
  • ISSN: 0010-437X

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Manduchi, Elisabetta. "Root numbers of fibers of elliptic surfaces." Compositio Mathematica 99.1 (1995): 33-58. <http://eudml.org/doc/90407>.

@article{Manduchi1995,
author = {Manduchi, Elisabetta},
journal = {Compositio Mathematica},
keywords = {root number; fibers of elliptic surfaces},
language = {eng},
number = {1},
pages = {33-58},
publisher = {Kluwer Academic Publishers},
title = {Root numbers of fibers of elliptic surfaces},
url = {http://eudml.org/doc/90407},
volume = {99},
year = {1995},
}

TY - JOUR
AU - Manduchi, Elisabetta
TI - Root numbers of fibers of elliptic surfaces
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 99
IS - 1
SP - 33
EP - 58
LA - eng
KW - root number; fibers of elliptic surfaces
UR - http://eudml.org/doc/90407
ER -

References

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  1. 1 Cassels, J.W.S. and Schinzel, A.: Selmer's conjecture and families of elliptic curves, Bull. London Math. Soc.14 (1982), 345-348. Zbl0474.14010MR663485
  2. 2 Cox, D.A. and Zucker, S.: Intersection numbers of sections of elliptic surfaces, Invent. Math.53 (1979), 1-44. Zbl0444.14004MR538682
  3. 3 Gouvêa, F. and Mazur, B.: The square-free sieve and the rank of elliptic curves, J. Amer. Math. Soc.4 (1991), 1-23. Zbl0725.11027MR1080648
  4. 4 Greaves, G.: Power-free values of binary forms, Quart. J. Math. Oxford43(2) (1992), 45-65. Zbl0768.11034MR1150469
  5. 5 Hooley, C.: Applications of Sieve Methods to the Theory of Numbers, Cambridge University Press, Cambridge, 1976. Zbl0327.10044MR404173
  6. 6 Lang, S.: Algebraic Number Theory, Springer-Verlag, New York, 1986. Zbl0601.12001MR1282723
  7. 7 Lang, S. and Trotter, H.: Frobenius Distributions in GL2-Extensions, Lecture Notes in Math. 504, Springer-Verlag, New York, 1976. Zbl0329.12015MR568299
  8. 8 Mazur, B.: The topology of rational points, J. Experimental Math.1 (1992), 35-45. Zbl0784.14012MR1181085
  9. 9 Rohrlich, D.E.: Variation of the root number in families of elliptic curves, Compos. Math.87 (1993), 119-151. Zbl0791.11026MR1219633
  10. 10 Serre, J-P. and Tate, J.: Good reduction of abelian varieties, Ann. Math.88 (1968), 492-517. Zbl0172.46101MR236190
  11. 11 Shioda, T.: On the Mordell-Weil lattices, Comment. Math. Univ. Sancti Pauli39 (1990), 211-240. Zbl0725.14017MR1081832
  12. 12 Silverman, J.H.: The Arithmetic of Elliptic Curves, Springer-Verlag, New York, 1985. Zbl0585.14026MR817210
  13. 13 Silverman, J.H.: Advanced Topics in the Arithmetic of Elliptic Curves, Springer-Verlag, New York, 1994. Zbl0911.14015MR1312368

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