Théorème de Lindemann-Weierstrass pour les modules de Drinfeld

A. Thiery

Compositio Mathematica (1995)

  • Volume: 95, Issue: 1, page 1-42
  • ISSN: 0010-437X

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Thiery, A.. "Théorème de Lindemann-Weierstrass pour les modules de Drinfeld." Compositio Mathematica 95.1 (1995): 1-42. <http://eudml.org/doc/90343>.

@article{Thiery1995,
author = {Thiery, A.},
journal = {Compositio Mathematica},
keywords = {Lindemann-Weierstrass theorem; Carlitz module; Drinfeld module; algebraic independence},
language = {fre},
number = {1},
pages = {1-42},
publisher = {Kluwer Academic Publishers},
title = {Théorème de Lindemann-Weierstrass pour les modules de Drinfeld},
url = {http://eudml.org/doc/90343},
volume = {95},
year = {1995},
}

TY - JOUR
AU - Thiery, A.
TI - Théorème de Lindemann-Weierstrass pour les modules de Drinfeld
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 95
IS - 1
SP - 1
EP - 42
LA - fre
KW - Lindemann-Weierstrass theorem; Carlitz module; Drinfeld module; algebraic independence
UR - http://eudml.org/doc/90343
ER -

References

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  1. [A] Bosch- Gunzter- Remmert: Non Archimedean Analysis, Springer, 1984. Zbl0539.14017MR746961
  2. [B] A. Borel: Linear Algebraic Groups, W.-A. Benjamin, 1969. Zbl0186.33201MR251042
  3. [C] W.D. Brownawell: Some remarks on semi-resultant, Academic Press, London, 1977, pp. 205-210. Zbl0361.10031MR480370
  4. [D] L. Denis: Théorème de Baker et modules de Drinfeld (thèse). 
  5. [H] R. Hartshorne: Algebraic Geometry, Springer, 1977. Zbl0367.14001MR463157
  6. [L] S. Lang: Algebra, Addison-Wesley, 1967. Zbl0848.13001MR783636
  7. [P 1] P. Philippon, Critère d'indépendance algébrique en caractéristique finie, à paraître. 
  8. [P2] P. Philippon: Lemmes de zéros dans les groupes algébriques commutatifs, Bull. Soc. Math. France114 (1986) 355-383. Zbl0617.14001MR878242
  9. [Y 1] J. Yu: Transcendence in finite characteristic, the arithmetic of function fields. Proceedings of the workshop at the Ohio State University, June 1991, W. de Gruyter. Zbl0792.11015MR1196523
  10. [Y2] J. Yu: Transcendence and Drinfeld modules, Invent. Math.83 (1986) p. 507-517. Zbl0586.12010MR827364

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