On p -adic differential equations. The Frobenius structure of differential equations

B. M. Dwork

Mémoires de la Société Mathématique de France (1974)

  • Volume: 39-40, page 27-37
  • ISSN: 0249-633X

How to cite

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Dwork, B. M.. "On $p$-adic differential equations. The Frobenius structure of differential equations." Mémoires de la Société Mathématique de France 39-40 (1974): 27-37. <http://eudml.org/doc/94703>.

@article{Dwork1974,
author = {Dwork, B. M.},
journal = {Mémoires de la Société Mathématique de France},
language = {eng},
pages = {27-37},
publisher = {Société mathématique de France},
title = {On $p$-adic differential equations. The Frobenius structure of differential equations},
url = {http://eudml.org/doc/94703},
volume = {39-40},
year = {1974},
}

TY - JOUR
AU - Dwork, B. M.
TI - On $p$-adic differential equations. The Frobenius structure of differential equations
JO - Mémoires de la Société Mathématique de France
PY - 1974
PB - Société mathématique de France
VL - 39-40
SP - 27
EP - 37
LA - eng
UR - http://eudml.org/doc/94703
ER -

References

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  1. [1] DWORK, B."A deformation theory for the zeta function of a hypersurface" Proc. Int'1. Cong. Math., Stockholm 1962 pp. 247-259. Zbl0196.53302
  2. [2] DWORK, B."On the zeta function of a hypersurface II, Annals of Math. 80 (1964) pp. 227-299. Zbl0173.48601MR32 #5654
  3. [3] DWORK, B."p-adic cycles" Publ. Math. IHES 37, Paris, 1969, pp. 27-116. Zbl0284.14008MR45 #3415
  4. [4] DWORK, B."On p-adic differential equations II", Annals of Math., to appear. Zbl0502.12021
  5. [5] DWORK, B."On p-adic differential equations III", submitted to Inventiones Math. Zbl0309.14019
  6. [6] KATZ, N."Travaux de Dwork" exposé 409, Seminaire Bourbaki 1972. Zbl0259.14007
  7. [7] TURRITTIN, H.L."Convergent solutions of ordinary linear homogeneous differential equations in the neighbourhood of an irregular singular point" Acta Math. 93 (1955) pp. 27-66. Zbl0064.33603MR16,925a
  8. [8] WASOW, W."Asymptotic expansions for ordinary differential equations" Interscience Publishers, New York 1965. Zbl0133.35301MR34 #3041

Citations in EuDML Documents

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  1. Philippe Robba, Croissance des solutions d'une équation différentielle homogène
  2. Gilles Christol, Structure de Frobénius des systèmes différentiels, I et II
  3. Gilles Christol, Structure de Frobénius des équations différentielles p -adiques
  4. Gilles Christol, Systèmes différentiels linéaires p -adiques, structure de Frobenius faible
  5. Philippe Robba, Structure de Frobenius faible pour les équations différentielles du premier ordre
  6. Pierre Berthelot, 𝒟 -modules arithmétiques. II: Descente par Frobenius
  7. François Loeser, Exposants p -adiques et théorèmes d’indice pour les équations différentielles p -adiques
  8. Philippe Robba, Équations différentielles p -adiques. Croissance des solutions, factorisation, indice
  9. Philippe Robba, Une introduction naïve aux cohomologies de Dwork

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