The tame fundamental group of an abelian variety and integral points

M. L. Brown

Compositio Mathematica (1989)

  • Volume: 72, Issue: 1, page 1-31
  • ISSN: 0010-437X

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Brown, M. L.. "The tame fundamental group of an abelian variety and integral points." Compositio Mathematica 72.1 (1989): 1-31. <http://eudml.org/doc/89981>.

@article{Brown1989,
author = {Brown, M. L.},
journal = {Compositio Mathematica},
keywords = {Grothendieck tame fundamental group; effective reduced divisor; abelian variety; abelianization; Tate module; integral subset with respect to a domain; group of rational points},
language = {eng},
number = {1},
pages = {1-31},
publisher = {Kluwer Academic Publishers},
title = {The tame fundamental group of an abelian variety and integral points},
url = {http://eudml.org/doc/89981},
volume = {72},
year = {1989},
}

TY - JOUR
AU - Brown, M. L.
TI - The tame fundamental group of an abelian variety and integral points
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 72
IS - 1
SP - 1
EP - 31
LA - eng
KW - Grothendieck tame fundamental group; effective reduced divisor; abelian variety; abelianization; Tate module; integral subset with respect to a domain; group of rational points
UR - http://eudml.org/doc/89981
ER -

References

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  7. 7 R. Hartshorne, Algebraic Geometry, Graduate Texts in Math., Springer-Verlag, 1977. Zbl0367.14001MR463157
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  11. 11 S. Lang, Integral points on curves, I.H.E.S. Publ. Math.6 (1960) 27-43. Zbl0112.13402MR130219
  12. 12 S. Lang, Abelian Varieties, Interscience, New York1959. Zbl0098.13201MR106225
  13. 13 S. Lang, Hyperbolicity and Diophantine analysis, Bull, Amer. Math. Soc.14 (1986) 159-206. Zbl0602.14019MR828820
  14. 14 D.W. Masser, Linear forms in algebraic points of abelian functions, Proc. L.M.S. 33 (1976) 549-564. Zbl0334.14019MR424717
  15. 15 D. Mumford, Abelian Varieties, O.U.P., Oxford1970. Zbl0223.14022MR282985
  16. 16 J. Noguchi, A higher dimensional analogue of Mordell's conjecture over function fields, Math. Annalen258 (1981) 207-212. Zbl0459.14002MR641826
  17. 17 M. Raynaud, Sous-variétés d'une variété abélienne et points de torsion, in: Arithmetic and Geometry, Progress in Math. 35, Birkhaüser (1983) 327-352. Zbl0581.14031
  18. 18 J-P. Serre, Revêtements ramifiés du plan projectif (d'aprés Abhyankar), Séminaire Bourbaki Mai 1960 no. 204. Zbl0115.38403
  19. 19 J-P. Serre, Lectures on the Mordell-Weil theorem, Aspects of Mathematics No. E15, Vieweg, Braunschweig/Wiesbaden1989. Zbl0676.14005MR1757192
  20. 20 J.H. Silverman, Integral points on abelian varieties, Invent. Math.81 (1985), 341-346 (Correction, Invent. Math. 84 (1986) 223). Zbl0585.14030MR799270
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  22. 22 P. Vojta, Diophantine Approximation and Value Distribution Theory, Lecture Notes in Math. 1239, Springer-Verlag, New York1987. Zbl0609.14011MR883451

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