Skip to main content
Log in

Poincaré lemma for tangential Cauchy Riemann complexes

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Andreotti, A.: Complexes of partial differential operators. Chicago: Yale University Press 1975

    Google Scholar 

  2. Andreotti, A.: Complessi di operatori differenziali. Boll. Un. Mat. Ital. A13, 273–281 (1976)

    Google Scholar 

  3. Andreotti, A.: E. E. Levi convexity and the H. Lewy problem. Actes du Congrès Intern. des Mathém. Nice (1970), Tome 2, pp. 607–611. Paris: Gauthier-Villars 1971

    Google Scholar 

  4. Andreotti, A.: Problema di Levi e convessità olomorfa. Symp. Math.2, 347–352 (1968)

    Google Scholar 

  5. Andreotti, A., Fredricks, G.: Embeddability of real analytic Cauchy Riemann manifolds. Ann. Scuola Norm. Sup. Pisa Cl. Sci.6, 285–304 (1979)

    Google Scholar 

  6. Andreotti, A., Fredricks, G., Nacinovich, M.: On the absence of Poincaré lemma in tangential Cauchy-Riemann complexes, Ann. Scuola Norm. Sup. Pisa Cl. Sci.8, 365–404 (1981)

    Google Scholar 

  7. Andreotti, A., Fredricks, G., Nacinovich, M.: Differential equations without solutions. Rend. Sem. Mat. Fis. Milano50, 11–22 (1980)

    Google Scholar 

  8. Andreotti, A., Grauert, H.: Théorèmes de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. France90, 193–259 (1962)

    Google Scholar 

  9. Andreotti, A., Hill, C.D.: Complex characteristic coordinates and tangential Cauchy-Riemann equations. Ann. Scuola Norm. Sup. Pisa Cl. Sci.26, 299–324 (1972)

    Google Scholar 

  10. Andreotti, A., Hill, C.D.: E. E. Levi convexity and the Hans Lewy problem, I and II. Ann. Scuola Norm. Sup. Pisa Cl. Sci.26, 325–363, 747–806 (1972)

    Google Scholar 

  11. Andreotti, A., Hill, C.D., Lojasiewicz, S., Mackichan, B.: Mayer Vietoris sequence for complexes of differential operators. Bull. Am. Math. Soc.82, 487–490 (1976)

    Google Scholar 

  12. Andreotti, A., Hill, C.D., Lojasiewicz, S., Mackichan, B.: Complexes of differential operators. The Mayer Vietoris sequence, Invent. Math.35, 43–86 (1976)

    Google Scholar 

  13. Andreotti, A., Nacinovich, M.: Complexes of partial differential operators. Ann. Scuola Norm. Sup. Pisa Cl. Sci.3, 553–621 (1976)

    Google Scholar 

  14. Andreotti, A., Nacinovich, M.: Noncharacteristic hypersurfaces for complexes of differential operators. Ann. Mat. Pura Appl.125, 18–83 (1980)

    Google Scholar 

  15. Andreotti, A., Nacinovich, M.: On analytic andC Poincaré lemma. Adv. in Math. Suppl. Studies, Vol. 7A, pp. 41–93. Chicago: Academic Press 1981

    Google Scholar 

  16. Folland, G.B., Kohn, J.J.: The Neumann problem for the Cauchy Riemann complex. Ann. Math. Studies 75. Princeton: Princeton University Press 1972

    Google Scholar 

  17. Henkin, G.M.: Resolution of Cauchy Riemann equations onq-concave C.R. manifolds. Conference at the “International Conference on Analytic Functions and their Applications in Mathematical Physics. Moskow, 1980

  18. Henkin, G.M.: Analytic representation for C.R. functions on submanifolds of codimension 2 inC n. Analytic functions — Kozubnik, 1979. Lecture Notes in Mathematics, Vol. 798, pp. 169–191. Berlin, Heidelberg, New York: Springer 1980

    Google Scholar 

  19. Hörmander, L.:L 2-estimates and existence theorems for the operator, Acta Math.113, 89–152 (1965)

    Google Scholar 

  20. Hörmander, L.: An introduction to complex analysis in several variables. Princeton: Van Nostrand 1966

    Google Scholar 

  21. Nacinovich, M.: On global solvability for some systems for partial differential equations. Rend. Sem. Mat. Univ. Torino 181–190 (1984)

  22. Nacinovich, M.: On weighted estimates for some systems of partial differential equations. Rend. Sem. Mat. Univ. Padova69, 221–232 (1983)

    Google Scholar 

  23. Nacinovich, M.: On the absence of Poincaré lemma for some systems of partial differential equations. Comp. Math.44, 241–303 (1981)

    Google Scholar 

  24. Nacinovich, M.: Sulla risolubilità di sistemi di equazioni differenziali. Boll. Un. Mat. Ital. Anal. Funz. Appl.1, 107–135 (1982)

    Google Scholar 

  25. Nacinovich, M.: On differential systems with constant coefficients. Publ. Dip. Mat. Univ. Pisa41, 1–36 (1983)

    Google Scholar 

  26. Naruki, I.: Localization principle for differential complexes and its applications. Publ. Res. Inst. Math. Kyoto Ser. A8, 43–110 (1972)

    Google Scholar 

  27. Nirenberg, L., Trèves, F.: On local solvability of linear partial differential equations. Comm. Pure Appl. Math.23, 1–38, 459–510 (1970)

    Google Scholar 

  28. Range, R., Yum-Tong Siu: Uniform estimates for the\(\bar \partial\) equation on domains with piecewise smooth strictly pseudoconvex boundaries. Math. Ann.206, 325–354 (1973)

    Google Scholar 

  29. Tartakoff, D.: A survey of some recent results inC and real analytic hypoellipticity for partial differential operators with applications to several complex variables. In: Recent developments in several complex variables, ed. J. E. Fornaess, Ann. Math. Studies, Vol. 100, pp. 393–411. Princeton: Princeton University Press 1982

    Google Scholar 

  30. Tougeron, J.C.: Ideaux de fonctions differentiables. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nacinovich, M. Poincaré lemma for tangential Cauchy Riemann complexes. Math. Ann. 268, 449–471 (1984). https://doi.org/10.1007/BF01451852

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01451852

Navigation