Differential equations in characteristic p

Marius Van der Put

Compositio Mathematica (1995)

  • Volume: 97, Issue: 1-2, page 227-251
  • ISSN: 0010-437X

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Van der Put, Marius. "Differential equations in characteristic $p$." Compositio Mathematica 97.1-2 (1995): 227-251. <http://eudml.org/doc/90377>.

@article{VanderPut1995,
author = {Van der Put, Marius},
journal = {Compositio Mathematica},
keywords = {prime characteristic; classification of -modules; differential field; linear differential equations; Picard-Vessiot theory; differential Galois group; ring of differential operators; classification of differential modules; minimal Picard-Vessiot ring; Picard-Vessiot field},
language = {eng},
number = {1-2},
pages = {227-251},
publisher = {Kluwer Academic Publishers},
title = {Differential equations in characteristic $p$},
url = {http://eudml.org/doc/90377},
volume = {97},
year = {1995},
}

TY - JOUR
AU - Van der Put, Marius
TI - Differential equations in characteristic $p$
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 97
IS - 1-2
SP - 227
EP - 251
LA - eng
KW - prime characteristic; classification of -modules; differential field; linear differential equations; Picard-Vessiot theory; differential Galois group; ring of differential operators; classification of differential modules; minimal Picard-Vessiot ring; Picard-Vessiot field
UR - http://eudml.org/doc/90377
ER -

References

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  2. [A1] André, Y.: Quatre descriptions des groupes de Galois différentielles, Séminaire d'algèbre de Paris 86/87, Lect. Notes in Math.1296 (1987). Zbl0651.12015MR932051
  3. [A2] André, Y.: Notes sur la théorie de Galois différentielles, preprint IHES/M/89/49, (1989). 
  4. [B] Blanchard, A.: Les corps non commutatifs, Collection Sup 9, Presses Universitaires de France, (1972). Zbl0249.16001MR354765
  5. [D] Deligne, P.: Catégories Tannakiennes, The Grothendieck Festschrift Vol 2, p. 111-195, Progress in Math.87, (1990). Zbl0727.14010MR1106898
  6. [DG] Demazure, M., Gabriel, P.: Groupes algébriques 1, North Holland, Amsterdam, (1970). Zbl0203.23401
  7. [DM] Deligne, P., Milne, J.: Tannakian categories, Lect. Notes in Math.900, (1982) 101-228. Zbl0477.14004
  8. [J] Jacobson, N.: p-algebras of exponent p, Bull. Am. Math. Soc.43 (1937) 667-670. Zbl0017.29301JFM63.0874.01
  9. [K1] Katz, N.: A conjecture in the arithmetic theory of differential equations, Bull. Soc. Mat. France.110 (1982) 203-239. Zbl0504.12022MR667751
  10. [K2] Katz, N.: On the calculations of some differential Galois groups, Invent. Math.87 (1987) 13-61. Zbl0609.12025MR862711
  11. [R] Renault, G.: Algèbre non commutative, Collection "Varia Mathematica", Gauthiers-Villars, (1975). Zbl0307.16001MR384845
  12. [S1] Serre, J-P.: Cohomologie Galoisienne, Lect. Notes in Math.5 (1973). Zbl0259.12011MR404227
  13. [S2] Serre, J-P.: Corps locaux, Hermann, Paris, (1968). Zbl0137.02601MR354618

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