References
Arapura D.: Higgs line bundles, Green-Lazarsfed sets, and maps of Kähler manifolds to curves. Bull. AMS. 26, 310–314 (1992)
Arapura D., Nori M.: Solvable fundamental groups of algebraic varieties and Kähler manifolds. Comp. Math. 116, 173–188 (1999)
Beauville A.: Annulation du H 1 pour les fibrés en droites plats. LNM 1507, 1–15 (1992)
Bieri, R., Strebel, R.: Geometric invariants for discrete groups. Cours polycopié. L’article original est [B-N-S 87]
Bieri R., Neumann W., Strebel R.: A geometric invariant of discrete groups. Inv. Math. 90, 451–477 (1987)
Brudnyi A.: Classification theorem for a class of flat connections and representations of Kähler groups. Michigan J. Math. 46, 489–514 (1999)
Campana F.: Réduction d’Albanese d’un morphisme Kählérien propre. I, II.. Compos. Math. 54, 373–416 (1985)
Campana F.: Remarques sur les groupes de Kähler nilpotents. Ann. Sci. ENS. 28, 307–316 (1995)
Campana F.: Connexité abélienne des variétés Kählériennes compactes. Bull. SMF 126, 483–506 (1998)
Campana F.: Ensembles de Green-Lazarsfeld et quotients résolubles des groupes de Kähler. J. Alg. Geom. 10, 599–622 (2001)
Campana F.: Orbifolds, special varieties and classification theory. Ann. Inst. Fourier 54, 499–635 (2004)
Campana, F.: Orbifoldes spéciales et classification biméromorphe des variétés Kählériennes compactes. arXiv 0705.0737
Catanese F.: Moduli and classification of irregular Kähler Manifolds with Albanese general type fibrations. Inv. Math. 104, 263–289 (1991)
Catanese, F.: Fundamental groups with few relations. In: Proceedings of the School-Conference Higher Dimensional Complex Varieties. Trento, June 1994, pp. 163–165. Walter De Gruyter, Berlin (1996)
Catanese, F.: Differentiable and deformation type of algebraic surfaces, real and symplectic structures. in symplectic 4-manifolds and algebraic surfaces. In: Proceedings of the Cetraro Conference, September 2007. Springer Lecture Notes, pp. 55–168 (to appear)
Claudon, B.: Invariance de la Gamma-dimension pour certaines familles Kählériennes de dimension 3. A paraître au Math. Z. Arxiv: 0802.2894
Claudon, B.: Γ-reduction for smooth orbifolds. ArXiv:0802.2894
Deligne, P.: Théorie de Hodge II. Publ. Math. IHES 40:5–58
Deligne P., Mostow D.: Commensurabilities among lattices in PU(1,n). Annals of Mathematic Studies 132. Princeton University Press, Princeton (1993)
Delzant, T.: L’invariant de Bieri-Neumann-Strebel des groupes fondamentaux des variétés Kählériennes. arXiv. math/0603038. (A paraître aux Math. Ann.)
Delzant, T.: Trees, valuations, and the Green-Lazarsfeld set. arXiv. math/0702477. A paraître à GAFA
Delzant, T., Gromov, M.: Cuts in Kähler groups. Progress in Mathematics, vol. 248. Birkhäuser, Boston (2005)
Fujiki A.: On the structure of a complex manifold in C. Adv. Studies Pure Math. 1, 231–302 (1983)
Green M., Lazarsfeld R.: Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville. Inv. Math. 90, 389–407 (1987)
Hain, R.: The De Rham homotopy of complex algebraic varieties I and II. K-theory 1, 271–324 (1987) (481–497)
Kharlampovich O.: A finitely presented solvable group with unsolvable word problem. Izv. Akad. Nauk. ser. Mat. 45, 852–873 (1981)
Kollàr J.: Shafarevich maps and plurigenera of algebraic varieties. Inv. Math. 113, 177–215 (1993)
Morgan, J.: The algebraic topology of smooth algebraic varieties. Publ. Math. IHES 48, 137–204 (1978) (Correction: Publ. Math. IHES 64, 185 (1986))
Namba, M.: Branched coverings and algebraic functions. In: Pitman Research Notes in Mathematics Series, vol. 161. Longman Scientific and Technical, Harlow (1987)
Peters, C., Steenbrink, J.: Mixed Hodge Structures. Erg. der Math. und ihrer Grenzgebiete. 3. Folge. Vol. 52. Springer Verlag, Berlin (2008)
Ragunathan, M.: Discrete subgroups of Lie groups. Ergebnisse der Mathematik und Ihrer Grenzgebiete. Springer Verlag, Berline
Robinson D.: A course in the theory of groups. GTM 80. Springer Verlag, New York (1996)
Serre J.P.: Corps locaux. Hermann, Paris (1968)
Simpson C.: Subspaces of moduli spaces of rank one local systems. Ann. Sci. ENS. 26, 361–401 (1993)
Simpson C.: Lefschetz theorem for the integral leaves of a holomorphic one-form. Compos. Math. 87, 99–113 (1993)
Ueno K.: Classification theory of algebraic varieties and compact complex spaces. LNM 439. Springer Verlag, Berlin (1975)
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Campana, F. Quotients résolubles ou nilpotents des groupes de kähler orbifoldes. manuscripta math. 135, 117–150 (2011). https://doi.org/10.1007/s00229-010-0413-x
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DOI: https://doi.org/10.1007/s00229-010-0413-x