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References
[Be]A. Beauville,Surfaces algébriques complexes (3me Ed.), Astérisque54, S.M.F. 1978.
[Be2]A. Beauville, Appendix to [Ca].
[BG]A. Bousfield, V. Gugenheim,On PL De Rham theory and rational homotopy type, Mem. Amer. Math. Soc.179, A.M.S. 1976.
[BPV]W. Barth, C. Peters, A. Van de Ven,Compact complex surfaces, Ergeb. Math. Grenzgeb. (3)4, Springer-Verlag 1984.
[C]F. Campana,Remarques sur les groupes de Kähler nilpotents, C. R. Acad. Sci. Paris317 (1993) 777–780; to appear in Ann. Sci. École Norm. Sup.
[Ca]F. Catanese,Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations, Invent. Math.104 (1991) 263–289.
[Ch]K. T. Chen,Iterated integrals of differential forms and loop space cohomolgy, Ann. of Math.97 (1973) 217–246.
[DGMS]P. Deligne, P. Griffiths, J. Morgan, D. Sullivan,Real Homotopy Theory of Kähler Manifolds, Invent. Math.29 (1975) 245–274.
[GL]M. Green, R. Lazarsfeld,Higher obstructions to deforming cohomology groups of line bundles, J. Amer. Math. Soc.4 (1991) 87–103.
[G]M. Gromov,Sur le groupe fondamental d'une variété Kählérienne, C. R. Acad. Sci. Paris308 (1989) 67–70.
[GM]P. Griffiths, J. Morgan,Rational Homotopy Theory and Differential Forms, Progr. Math.16, Birkhäuser 1981.
[HMR]P. Hilton, G. Mislin, J. Roitberg,Localization of Nilpotent Groups and Spaces, Math. Studies15, North Holland 1975.
[JR]F. Johnson, E. Rees,On the fundamental group of a complex algebraic manifold, Bull. London Math. Soc.19 (1987) 463–466.
[JR2]F. Johnson, E. Rees, The fundamental groups of algebraic varieties, in S. Jackowsky et altri (Eds.)Algebraic Topology Poznan 1989, Lecture Notes in Math.1474, Springer-Verlag 1991, 75–82.
[Ko]T. Kohno,Série de Poincaré-Koszul associée aux groupes de tresses pures, Invent. Math.82 (1985) 57–75.
[L]M. Lazard,Sur les groupes nilpotents et les anneaux de Lie, Ann. scient Éc. Norm. Sup.71 (1954) 101–190.
[M1]J. Morgan,The algebraic topology of smooth algebraic varieties, Inst. Hautes Études Sci. Publ. Math.48 (1978) 137–204.
[M2]J. Morgan,Hodge theory for the algebraic topology of smooth algebraic varieties, Proc. Sympos. Pure Math.32 AMS 1978, 119–128.
[Q]D. Quillen,Rational Homotopy Theory, Ann. of Math. (2)90 (1969) 205–295.
[Q2]D. Quillen,On the Associated Graded Ring of a Group Ring, J. Algebra10 (1968) 411–418.
[RV]R. Remmert, A. Van de Ven,Zur Funktionentheorie homogener komplexer Mannigfaltigkeiten, Topology2 (1963) 137–157.
[Ro]D. Rolfsen,Knots and Links, Math. Lecture Ser.7, Publish or Perish 1990.
[S]J.-P. Serre,Lie algebras and Lie groups, W. A. Benjamin 1965.
[Siu]Y. T. Siu, Strong Rigidity for Kähler Manifolds and the Construction of Bounded Holomorphic Functions, in R. Howe (Ed.),Discrete Groups in Geometry and Analysis, Progr. Math.67 Birkhäuser 1987, 124–151.
[St]J. R. Stallings, Quotients of the powers of the augmentation ideals in a group ring, in L. P., Neuwirth,Knots, Groups and 3-Manifolds, Ann. of Math. Stud.84, Princeton University Press 1975, 101–118.
[WO]R. O. Wells,Comparison of De Rham and Dolbeault cohomology for proper surjective mappings, Pacific J. Math.53 (1974) 281–300.
[W]R. O. Wells,Differential Analysis on Complex Manifolds, Graduate Texts in Math.65, Springer-Verlag 1980.
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Supported by the Generalitat de Catalunya. Partially supported by DGCYT grant PB93-0790.
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Amorós, J. On the Malcev completion of Kähler groups. Commentarii Mathematici Helvetici 71, 192–212 (1996). https://doi.org/10.1007/BF02566416
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DOI: https://doi.org/10.1007/BF02566416