Variation of the root number in families of elliptic curves

David E. Rohrlich

Compositio Mathematica (1993)

  • Volume: 87, Issue: 2, page 119-151
  • ISSN: 0010-437X

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Rohrlich, David E.. "Variation of the root number in families of elliptic curves." Compositio Mathematica 87.2 (1993): 119-151. <http://eudml.org/doc/90231>.

@article{Rohrlich1993,
author = {Rohrlich, David E.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {119-151},
publisher = {Kluwer Academic Publishers},
title = {Variation of the root number in families of elliptic curves},
url = {http://eudml.org/doc/90231},
volume = {87},
year = {1993},
}

TY - JOUR
AU - Rohrlich, David E.
TI - Variation of the root number in families of elliptic curves
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 87
IS - 2
SP - 119
EP - 151
LA - eng
UR - http://eudml.org/doc/90231
ER -

References

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  6. 6 P. Deligne, Les constantes des équations fonctionelles des fonctions L, Modular Functions of One Variable, II, SLN 349, Springer-Verlag, New York, 1973, pp. 501-595. Zbl0271.14011MR349635
  7. 7 B. Edixhoven, A. De Groot, and J. Top, Elliptic curves over the rationals with bad reduction at only one prime, Math. of Comp.54 (1990), 413-419. Zbl0756.14030MR995209
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  15. 15 J-P. Serre and J. Tate, Good reduction of abelian varieties, Ann. Math.68 (1968), 492-517. Zbl0172.46101MR236190
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  17. 17 J.H. Silverman, The Arithmetic of Elliptic Curves, Springer-Verlag, New York, 1985. Zbl0585.14026MR817210
  18. 18 J. Tate, Algorithm for finding the type of a singular fiber in an elliptic pencil, Modular Functions of One VariableIV, Lect. Notes Math.476, Springer-Verlag, 1975, pp. 33-52. Zbl1214.14020MR393039
  19. 19 J. Tate, Number theoretic background, Automorphic Forms, Representations, and L-Functions, Proc. Symp. Pure Math. Vol. 33-Part 2, Amer. Math. Soc., Providence, 1979, pp. 3-26. Zbl0422.12007MR546607
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  22. 22 J.-L. Waldspurger, Correspondances de Shimura et quaternions, Forum Math.3 (1991), 219-307. Zbl0724.11026MR1103429

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