Cauchy-Leray forms and vector bundles

Bo Berndtsson

Annales scientifiques de l'École Normale Supérieure (1991)

  • Volume: 24, Issue: 3, page 319-337
  • ISSN: 0012-9593

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Berndtsson, Bo. "Cauchy-Leray forms and vector bundles." Annales scientifiques de l'École Normale Supérieure 24.3 (1991): 319-337. <http://eudml.org/doc/82298>.

@article{Berndtsson1991,
author = {Berndtsson, Bo},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Chern forms; current; integral formula of Cauchy-Leray type; - forms on complex manifolds},
language = {eng},
number = {3},
pages = {319-337},
publisher = {Elsevier},
title = {Cauchy-Leray forms and vector bundles},
url = {http://eudml.org/doc/82298},
volume = {24},
year = {1991},
}

TY - JOUR
AU - Berndtsson, Bo
TI - Cauchy-Leray forms and vector bundles
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1991
PB - Elsevier
VL - 24
IS - 3
SP - 319
EP - 337
LA - eng
KW - Chern forms; current; integral formula of Cauchy-Leray type; - forms on complex manifolds
UR - http://eudml.org/doc/82298
ER -

References

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  1. [A-B] M. ANDERSSON and B. BERNDTSSON, Henkin-Ramirez Formulas with Weight Factors (Annales de l'Institut Fourier, Vol. 32, 1982, pp. 91-110). Zbl0466.32001MR84j:32003
  2. [B-Ch 1] R. BOTT and S. S. CHERN, Hermitian Vector bundles and the Equidistribution of Zeros of their Holomorphic Sections (Acta Mathematica, Vol. 114, 1965, pp. 71-112). Zbl0148.31906MR32 #3070
  3. [B-Dh 2] R. BOTT and S. S. CHERN, Some Formulas Related to Complex Transgression (Scripta Mathematica, Vol. XXIX, 1973, pp. 243-251). 
  4. [Ch] S. S. CHERN, Meromorphic Vector Fields and Characteristic Numbers. In Essays on Topology and Related Topics, Springer-Verlag 1970, pp. 48-57. MR41 #9306
  5. [Dem-LTh] J. P. DEMAILLY and C. LAURENT-THIEBAUT, Formules intégrales pour les formes différentielles de type (p, q) dans les variétés de Stein (Ann. scient. Ec. Norm. Sup., Vol. 20, 1987, pp. 579-598). Zbl0632.32004MR89g:32023
  6. [F] H. FLANDERS, Development of an extended Exterior Differential Calculus (Trans. Amer. Math. Soc., Vol. 75, 1953, pp. 311-326). Zbl0052.17901MR15,161e
  7. [Gr-H] Ph. GRIFFITHS and J. HARRIS, Principles of Algebraic Geometry, John Wiley and Sons, 1978. Zbl0408.14001
  8. [He-L] G. M. HENKIN and J. LEITERER, Function Theory on Complex Manifolds, Akademie Verlag, Berlin, 1984. 
  9. [Hi] F. HIRZEBRUCH, Topological Methods in Algebraic Geometry, Springer Verlag, 1966. Zbl0138.42001MR34 #2573
  10. [O] N. OVRELID, Integral Representation Formulas and Lp-Estimates for the ∂-Equation (Math. Scand., Vol. 29, 1971, pp. 137-160). Zbl0227.35069MR48 #2425

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