Advertisement

Cohomologie locale d’une hypersurface

  • Zoghman Mebkhout
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 670)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. [L.C.]
    A. Grothendieck, Local Cohomologie. Lecture Notes in Math. no41.Google Scholar
  2. [R.D.]
    R. Hartshorne, Residues and Duality. Lecture Notes in Math. no20.Google Scholar
  3. [S.K.K.]
    M. Sato, T. Kawai and M. Kashiwara. Micro-functions and pseudo-differential equations. Lecture Notes in Math. no287.Google Scholar
  4. [1]
    I.N. Bernstein, The analytic continuation of generalized functions with respent to a parameter. Functional Anal. Appl. 6, 1972, 26–40.Google Scholar
  5. [2]
    J.E. Bjork. Dimensions over Algebras of differential operators. Preprint.Google Scholar
  6. [3]
    P. Dolbeault, Residus et courants (questions in algebraic varieties. C.I.M.E. (septembre 1969).Google Scholar
  7. [4]
    F. Elseim, Thèse Université Paris VII.Google Scholar
  8. [5]
    F. Fouché, Un complexe dualisant en géométrie analytique. Séminaire de fonctions de plusieurs variables complexes II. Lecture Notes in Math. no482.Google Scholar
  9. [6]
    A. Grothendieck. On the De Rham cohomology of Algebraic Varieties. Publ. Math. I.H.E.S. (29) 1966, 95–103.Google Scholar
  10. [7]
    M. Herrera, D. Libermann, Residues and principal values on complex spaces. Math. Ann. 194, 1971, p. 259–294.MathSciNetCrossRefzbMATHGoogle Scholar
  11. [8]
    M. Herrera, D. Libermann, Duality and the De Rham Cohomology of infenitesimal neigbourhood. Invent. Math. 13 (1971) p.97–326.MathSciNetCrossRefGoogle Scholar
  12. [9]
    C. Houzel, Séminaire Banach. Lecture notes in Math. no277.Google Scholar
  13. [10]
    M. Kashiwara, Algebraic study of systems of Partial differential equations. Masteurs thesis univ. of Kyoto, 1971 (En japonnais).Google Scholar
  14. [11]
    M. Kashiwara, On the maximally over-determined system of linear differential equations I, Publ. Rims. Kyoto, 10, 1975, 563–579.MathSciNetCrossRefzbMATHGoogle Scholar
  15. [12]
    M. Kashiwara, Letter à Malgrange (janvier 1975). Rationnalité des zéros de la b-fonction.Google Scholar
  16. [13]
    D. Libermann, Generalizations of the De Rham complexe with applications to duality theory of the cohomology of singular varieties. Proc. Conf. of Complex Analysis, Rice 1972.Google Scholar
  17. [14]
    B. Malgrange, Operateurs pseudo-différentiels. Séminaire Grenoble (1976).Google Scholar
  18. [15]
    B. Malgrange, Le polynome de Bernstein d'une singularité isolée. Lecture Notes no459. Fournier integral operateur and partial differential equations p. 98–119.Google Scholar
  19. [16]
    Z. Mebkhout. La valeur principale et résidu simple des formes à singularités essentielles. Séminaire de plusieurs variables complexe II. Lecture Notes in Math. no482.Google Scholar
  20. [17]
    Z. Mebkhout. Local Cohomology of Analytic spaces. Publ. Rims Kyoto univ. 12, 1976.Google Scholar
  21. [18]
    J.P. Ramis, G. Ruget; J.L. Verdier, Dualité Relative en Géométrie Analytique Complexe. Inventions math. 13, 261–283, 1971.MathSciNetCrossRefzbMATHGoogle Scholar
  22. [19]
    J.P. Ramis, G. Ruget, Complexe dualisant en géométrie analytique. Publ. I.H.E.S. 38, 77–91, 1971.CrossRefzbMATHGoogle Scholar
  23. [20]
    J.P. Ramis, G. Ruget. Dualité et Résidu. Invent. Math., 26 Fasc. 2, 89–131, 1974.MathSciNetCrossRefzbMATHGoogle Scholar
  24. [21]
    M. Sato, Hyperfunctions and partial differential equations. Proc. Int. Conf. on Functionnal Analysis, Tokyo, 1969.Google Scholar
  25. [22]
    J.L. Stellé, Thése Université de Paris VI.Google Scholar
  26. [23]
    J.L. Verdier, Classe d'homologie associé à un cycle. Séminaire de Géométrie Analytique 1974–1975, Exposé noVI, E.N.S.Google Scholar
  27. [24]
    J.L. Verdier, Catégorie dérivées. Etat O, Notes de l'I.H.E.S.Google Scholar
  28. [25]
    H. Whitney, Tangents to an analytic variety, Ann. of Math. 81, 496–549, 1964.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Zoghman Mebkhout

There are no affiliations available

Personalised recommendations