Closed transverse ( p , p ) -forms on compact complex manifolds

Lucia Alessandrini; Marco Andreatta

Compositio Mathematica (1987)

  • Volume: 61, Issue: 2, page 181-200
  • ISSN: 0010-437X

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Alessandrini, Lucia, and Andreatta, Marco. "Closed transverse $(p, p)$-forms on compact complex manifolds." Compositio Mathematica 61.2 (1987): 181-200. <http://eudml.org/doc/89821>.

@article{Alessandrini1987,
author = {Alessandrini, Lucia, Andreatta, Marco},
journal = {Compositio Mathematica},
keywords = {holomorphic immersions; p-Kähler manifolds; currents; holomorphic submersions},
language = {eng},
number = {2},
pages = {181-200},
publisher = {Martinus Nijhoff Publishers},
title = {Closed transverse $(p, p)$-forms on compact complex manifolds},
url = {http://eudml.org/doc/89821},
volume = {61},
year = {1987},
}

TY - JOUR
AU - Alessandrini, Lucia
AU - Andreatta, Marco
TI - Closed transverse $(p, p)$-forms on compact complex manifolds
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 2
SP - 181
EP - 200
LA - eng
KW - holomorphic immersions; p-Kähler manifolds; currents; holomorphic submersions
UR - http://eudml.org/doc/89821
ER -

References

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  1. Alessandrini, L. and Andreatta, M.: A resolution of the sheaf of germs of real pluriharmonic functions. Proceedings of the International Conference on Algebraic Geometry, Berlin, November 13-19, 1985. Teubner Texte Zur Mathematik, 93, (1986). Zbl0617.31005MR922896
  2. Alessandrini, L. and Andreatta, M.: On complex solvmanifolds and affine structures. Annali di Matematica pura e applicata Serie IV, vol. CXLIIFirenze (1985). Zbl0588.32039MR839044
  3. Alessandrini, L. and Andreatta, M.: On the cohomology of a nilmanifold. To appear. Zbl0617.31005
  4. Barth, W. and Otte, M.: Über fast uniforme Untergruppen komplexer Liegruppen und auflösbare komplexer Mannigfaltigkeiten. Comm. Math. Helv.44 (1969) 269-281. Zbl0172.37804MR253382
  5. Gauduchon, P.: Fibrés Hermitiens à endomorphisme de Ricci non négatif. Bull. Soc. Math. France105 (1977) 113-140. Zbl0382.53045MR486672
  6. Goldberg, S.: Curvature and homology. London Academic PressNew York (1962). Zbl0105.15601MR139098
  7. Harvey, R.: Holomorphic chains and their boundaries. Proc. Symp. Pure Math., 30 Part I AMSProvidence R.I. (1977) 309-382. Zbl0374.32002MR447619
  8. Harvey, R. and Lawson, H.B.: An intrinsic characterization of Kähler manifolds. Inv. Math.74 (1983) 169-198. Zbl0553.32008MR723213
  9. Michelson, M.L.: On the existence of special metrics in complex geometry. Acta Math.143 (1983) 261-295. Zbl0531.53053MR688351
  10. Schäfer, H.H.: Topological vector spacesSpringer, Berlin-Heidelberg-New York (1971). Zbl0217.16002MR342978
  11. Sullivan, D.: Cycles for the dynamical study of foliated manifolds and complex manifolds. Inv. Math.36 (1976) 225-255. Zbl0335.57015MR433464
  12. Wang, H.C.: Complex parallelisable manifolds. Proc. AMS5 (1954) 771-776. Zbl0056.15403MR74064

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