Duality and distribution cohomology of C R manifolds

C. Denson Hill; M. Nacinovich

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1995)

  • Volume: 22, Issue: 2, page 315-339
  • ISSN: 0391-173X

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Hill, C. Denson, and Nacinovich, M.. "Duality and distribution cohomology of $CR$ manifolds." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.2 (1995): 315-339. <http://eudml.org/doc/84208>.

@article{Hill1995,
author = {Hill, C. Denson, Nacinovich, M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {-complex; distribution cohomology; CR manifolds; duality},
language = {eng},
number = {2},
pages = {315-339},
publisher = {Scuola normale superiore},
title = {Duality and distribution cohomology of $CR$ manifolds},
url = {http://eudml.org/doc/84208},
volume = {22},
year = {1995},
}

TY - JOUR
AU - Hill, C. Denson
AU - Nacinovich, M.
TI - Duality and distribution cohomology of $CR$ manifolds
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1995
PB - Scuola normale superiore
VL - 22
IS - 2
SP - 315
EP - 339
LA - eng
KW - -complex; distribution cohomology; CR manifolds; duality
UR - http://eudml.org/doc/84208
ER -

References

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  1. [AjHe] R.A. Ajrapetyan - G.M. Henkin, Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR functions I, II, Usp. Mat. Nauk39, n. 3, (1984), 39-106 English transl.: Russ. Math. Surv.39, n. 3 (1984), 41-118; Mat. Sb. Nov. Ser. 127, n. 1 (1985), 92-112; English transl.: Math. USSR, Sb. 55, n. 1 (1986), 91-111. Zbl0589.32035MR791319
  2. [AB] A. Andreotti - C. BăNICă, Relative duality in complex spaces I., Rev. Roum. Math. Pures et Appl.20 (1975), 981-1041. Zbl0319.32016MR414921
  3. [AFN] A. Andreotti - G.A. Fredricks - M. Nacinovich, On the absence of Poincaré lemma in tangential Cauchy-Riemann complexes, Ann. Scuola Norm. Sup. Pisa8 (1981), 365-404. Zbl0482.35061MR634855
  4. [AG] A. Andreotti - H. Grauert, Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France90 (1962), 193-259. Zbl0106.05501MR150342
  5. [AH] A. Andreotti - C.D. Hill, E.E. Levi convexity and the Hans Lewy problem I, II, Ann. Scuola Norm. Sup. Pisa26 (1972), 325-363; 747-806. Zbl0256.32007
  6. [AHLM] A. Andreotti - C.D. Hill - S. Lojasiewicz - B. Mackichan, Complexes of partial differential operators: The Mayer-Vietoris sequence, Invent. Math.26 (1976), 43-86. Zbl0332.58016MR423425
  7. [AK] A. Andreotti - A. Kas, Duality on complex spaces, Ann. Scuola Norm. Sup. Pisa27 (1973), 187-263. Zbl0278.32007MR425160
  8. [AN] A. Andreotti - M. Nacinovich, Noncharacteristic hypersurface for complexes of differential operators, Ann. Math. Pura Appl.125 (1980), 18-83. Zbl0456.58024MR605203
  9. [deR] G. De Rham, "Variétés différentiables", Hermann, Paris, 1960. Zbl0089.08105
  10. [Gr] A. Grothendiek, "Local cohomology", Lect. Notes Math.41Springer-Verlag, Berlin, 1967. Zbl0185.49202MR224620
  11. [HN1] C.D. Hill - M. Nacinovich, Pseudoconcave CR manifolds, preprint, Dipartimento di Matematica, Pisa 1.76 (723) (Feb. 1993). MR1365978
  12. [HN2] C.D. Hill - M. Nacinovich, Aneurysms of pseudoconcave CR manifolds, preprint Dipartimento di Matematica, Pisa 1.83 (745) (Jun. 1993). Zbl0843.32011MR1362250
  13. [HN3] C.D. Hill - M. Nacinovich, A collar neighborhood theorem for a complex manifold, prépublication de I'lnstitut Fourier, Grenoble197 (1992). 
  14. [L] J. Leray, Le calcul différentiel et intégral sur une variété analitique complexe (Problème de Cauchy III), Bull. Soc. Math. Fr.87 (1959), 81-180. Zbl0199.41203MR125984
  15. [M] A. Martineau, Distributions et valeurs au bord de fonctions holomorphes, RCP Strasbourg25 (1966). 
  16. [MN] C. Medori - M. Nacinovich, Pluriharmonic functions on abstract CR manifolds, preprint Dipartimento di Matematica, Pisa 1.78 (727) (Mar. 1993). MR1441627
  17. [N1] M. Nacinovich, Poincaré lemma for tangential Cauchy-Riemann complexes, Math. Ann.268 (1984), 449-471. Zbl0574.32045MR753407
  18. [N2] M. Nacinovich, On a theorem of Ajrapetyan and Henkin, Seminari di Geometria1988-1991, Univ. Bologna, 99-135. Zbl0747.32011MR1138252
  19. [N3] M. Nacinovich, On strict Levi q-convexity and q-concavity on domains with piecewise smooth boundaries, Math. Ann.281 (1988), 459-482. Zbl0628.32021MR954153
  20. [NV] M. Nacinovich - G. Valli, Tangential Cauchy-Riemann complexes on distributions, Ann. Mat. Pura Appl.146 (1987), 123-160. Zbl0631.58024MR916690
  21. [S] J.P. Serre, Un Théorème de dualité, Comm. Math. Helvetici29 (1955), 9-26. Zbl0067.16101MR67489

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