A conjecture in the arithmetic theory of differential equations

Nicholas M. Katz

Bulletin de la Société Mathématique de France (1982)

  • Volume: 110, page 203-239
  • ISSN: 0037-9484

How to cite

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Katz, Nicholas M.. "A conjecture in the arithmetic theory of differential equations." Bulletin de la Société Mathématique de France 110 (1982): 203-239. <http://eudml.org/doc/87414>.

@article{Katz1982,
author = {Katz, Nicholas M.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {differential Galois group; p-curvature},
language = {eng},
pages = {203-239},
publisher = {Société mathématique de France},
title = {A conjecture in the arithmetic theory of differential equations},
url = {http://eudml.org/doc/87414},
volume = {110},
year = {1982},
}

TY - JOUR
AU - Katz, Nicholas M.
TI - A conjecture in the arithmetic theory of differential equations
JO - Bulletin de la Société Mathématique de France
PY - 1982
PB - Société mathématique de France
VL - 110
SP - 203
EP - 239
LA - eng
KW - differential Galois group; p-curvature
UR - http://eudml.org/doc/87414
ER -

References

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  1. [1] CHEVALLEY (C.). — Théorie Des Groupes De Lie, Groupes algébriques, Théorèmes généraux sur les algèbres de Lie, Hermann, Paris, 1968. Zbl0186.33104
  2. [2] DELIGNE (P.). — Equations Différentielles à Points Singuliers Réguliers, Springer Lecture Notes in Mathematics, No. 163, 1970. Zbl0244.14004MR54 #5232
  3. [3] DELIGNE (P.). — Le groupe fondamental du complément d'une courbe plane n'ayant que des points doubles ordinaires est abélien (d'après W. Fulton), Séminaire Bourbaki 1979/1980, Exposé 543, Springer Lecture Notes in Mathematics No. 842, 1981, pp. 1-10. Zbl0478.14008MR83f:14026
  4. [4] FULTON (W.). — and LAZARSFELD (R.). — Connectivity and its applications in algebraic geometry, to appear in Proceedings of the Midwest Algebraic Geometry Conference, 1980 ; Springer Lecture Notes in Mathematics. Zbl0484.14005
  5. [5] KAPLANSKY (I.). — An Introduction to Differential Algebra, Hermann, Paris, 19 Zbl0083.03301
  6. [6] KATZ (N.). — Nilpotent connections and the monodromy theorem — applications of a result of Turritin, Publ. Math. I.H.E.S. No. 39, 1970, pp. 355-412. Zbl0221.14007
  7. [7] KATZ (N.). — Algebraic solutions of differential equations ; p-curvature and the Hodge filtration, Inv. Math. Vol. 18, 1972, pp. 1-118. Zbl0278.14004MR49 #2728
  8. [8] SAAVEDRA RIVANO (N.). — Categories Tanakiennes, Springer Lecture Notes in Mathematics, No. 265, 1972. Zbl0241.14008MR49 #2769

Citations in EuDML Documents

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  1. Juan J. Morales-Ruiz, Josep Maria Peris, On a galoisian approach to the splitting of separatrices
  2. Marius Van der Put, Differential equations in characteristic p
  3. Daniel Bertrand, Frits Beukers, Équations différentielles linéaires et majorations de multiplicités
  4. Olivier Mathieu, Classification des algèbres de Lie simples
  5. Daniel Bertrand, Groupes algébriques et équations différentielles linéaires
  6. Jean-Benoît Bost, Algebraic leaves of algebraic foliations over number fields
  7. Antoine Chambert-Loir, Théorèmes d'algébricité en géométrie diophantienne

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