Induced 𝒟 -modules and differential complexes

Morihiko Saito

Bulletin de la Société Mathématique de France (1989)

  • Volume: 117, Issue: 3, page 361-387
  • ISSN: 0037-9484

How to cite

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Saito, Morihiko. "Induced ${\mathcal {D}}$-modules and differential complexes." Bulletin de la Société Mathématique de France 117.3 (1989): 361-387. <http://eudml.org/doc/87586>.

@article{Saito1989,
author = {Saito, Morihiko},
journal = {Bulletin de la Société Mathématique de France},
keywords = {differential complexes; direct image; duality; -modules},
language = {eng},
number = {3},
pages = {361-387},
publisher = {Société mathématique de France},
title = {Induced $\{\mathcal \{D\}\}$-modules and differential complexes},
url = {http://eudml.org/doc/87586},
volume = {117},
year = {1989},
}

TY - JOUR
AU - Saito, Morihiko
TI - Induced ${\mathcal {D}}$-modules and differential complexes
JO - Bulletin de la Société Mathématique de France
PY - 1989
PB - Société mathématique de France
VL - 117
IS - 3
SP - 361
EP - 387
LA - eng
KW - differential complexes; direct image; duality; -modules
UR - http://eudml.org/doc/87586
ER -

References

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  2. [Be] BERNSTEIN (J.). — Algebraic theory of D-Modules. — Preprint, 1983. 
  3. [BO] BERTHELOT (P.) and OGUS (A.). — Notes on Crystalline cohomology. Princeton University Press, 1978. Zbl0383.14010MR58 #10908
  4. [G] GROTHENDIECK (A.). — Éléments de géométrie algébrique III. Publ. Math. IHES, t. 11, 1961. Zbl0235.14007
  5. [H] HARTSHORNE (R.). — Residues and duality. — Lecture Notes in Math., t. 20, 1966. Zbl0212.26101MR36 #5145
  6. [K1] KASHIWARA (M.). — On the maximally overdetermined system of linear differential equations I, Publ. RIMS, Kyoto Univ., t. 10, 1975, p. 563-579. Zbl0313.58019MR51 #6891
  7. [K2] KASHIWARA (M.). — B-functions and holonomic systems, Invent. Math., t. 38, 1976, p. 33-53. Zbl0354.35082MR55 #3309
  8. [K3] KASHIWARA (M.). — The Riemann-Hilbert Problem for Holonomic Systems, Publ. RIMS, Kyoto Univ., t. 20, 1984, p. 319-365. Zbl0566.32023MR86j:58142
  9. [KK] KASHIWARA (M.) and KAWAI (T.). — On holonomic system of microdifferential equations III, Publ. RIMS, Kyoto Univ., t. 17, 1981, p. 813-979. Zbl0505.58033MR83e:58085
  10. [M1] MEBKHOUT (Z.). — Théorème de bidualité pour les Dx-Modules holonomes, Ark. Mat., t. 20, 1982, p. 111-124. Zbl0525.32025MR84a:58075
  11. [M2] MEBKHOUT (Z.). — Une autre équivalence de catégorie, Compositio Math., t. 51, 1984, p. 63-88. Zbl0566.32021MR85k:58073
  12. [RRV] RAMIS (J.-P.), RUGET (G.) et VERDIER (J.-L.). — Dualité relative en géométrie analytique complexe, Invent. Math., t. 13, 1971, p. 261-283. Zbl0218.14010MR46 #7553
  13. [S1] SAITO (M.). — Modules de Hodge polarisables, Publ. RIMS, Kyoto Univ., t. 24, 1988, p. 849-995. Zbl0691.14007MR90k:32038
  14. [S2] SAITO (M.). — Mixed Hodge Modules, Preprint RIMS-585. Zbl0727.14004
  15. [S3] SAITO (M.). — Introduction to mixed Hodge Modules, Preprint RIMS-605 (to appear in Astérisque). Zbl0753.32004
  16. [Sc1] SCHNEIDERS (J.-P.). — Un théorème de dualité relative pour les modules différentiels, C.R. Acad. Sc. Paris, t. 303, 1986, p. 235-238. Zbl0605.14016MR87k:32018
  17. [Sc2] SCHNEIDERS (J.-P.). — Dualité pour les modules différentiels, dissertation. — Univ. Liège, 1986-1987. 
  18. [V1] VERDIER (J.L.). — Catégories dérivées, SGA 4 1/2, Lecture Notes in Math., t. 569, 1977, p. 262-311. Zbl0407.18008MR57 #3132
  19. [V2] VERDIER (J.L.). — Dualité dans la cohomologie des espaces localement compacts, Séminaire Bourbaki, n° 300, 1966, Benjamin. Zbl0268.55006

Citations in EuDML Documents

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  1. A. d'Agnolo, P. Schapira, Correspondance de D -modules et transformation de Penrose
  2. Alexandru Dimca, Morihiko Saito, On the cohomology of a general fiber of a polynomial map
  3. Claude Sabbah, Non-commutative Hodge structures
  4. Daniel Caro, 𝒟 -modules arithmétiques surcohérents. Application aux fonctions L
  5. Anne Virrion, Dualité locale et holonomie pour les 𝒟 -modules arithmétiques
  6. Yves Laurent, Bernard Malgrange, Cycles proches, spécialisation et 𝒟 -modules
  7. Pierre Berthelot, 𝒟 -modules arithmétiques. II: Descente par Frobenius
  8. Claude Sabbah, Classes caractéristiques et théorèmes d'indice : point de vue microlocal

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