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The Bayreuth meeting on "Complex Algebraic Varieties"§focussed on the classification of algebraic varieties and§topics such as vector bundles, Hodge theory and hermitian§differential geometry. Most of the articles in this volume§are closely related to talks given at the conference: all§are original, fully refereed research articles.§CONTENTS: A. Beauville: Annulation du H(1) pour les fibres§en droites plats.- M. Beltrametti, A.J. Sommese, J.A.§Wisniewski: Results on varieties with many lines and their§applications to adjunction theory.- G. Bohnhorst, H.§Spindler: The stability of certain vector bundles on P(n) .-§F. Catanese, F. Tovena: Vector bundles, linear systems and§extensions of (1).- O. Debarre: Vers uns stratification de§l'espace des modules des varietes abeliennes principalement§polarisees.- J.P. Demailly: Singular hermitian metrics on§positive line bundles.- T. Fujita: On adjoint bundles of§ample vector bundles.- Y. Kawamata: Moderate degenerations§of algebraic surfaces.- U. Persson: Genus two fibrations§revisited.- Th. Peternell, M. Szurek, J.A. Wisniewski:§Numerically effective vector bundles with small Chern§classes.- C.A.M. Peters: On the rank of non-rigid period§maps in the weight one and two case.- A.N. Tyurin: The§geometry of the special components of moduli space of vector§bundles over algebraic surfaces of general type.