The Bayreuth meeting on "Complex Algebraic Varieties"focussed on the classification of algebraic varieties andtopics such as vector bundles, Hodge theory and hermitiandifferential geometry. Most of the articles in this volumeare closely related to talks given at the conference: allare original, fully refereed research articles. CONTENTS: A. Beauville: Annulation du H(1) pour les fibresen droites plats.- M. Beltrametti, A.J. Sommese, J.A. Wisniewski: Results on varieties with many lines and theirapplications to adjunction theory.- G. Bohnhorst, H. Spindler: The stability of certain vector bundles on P(n) .-F. Catanese, F. Tovena: Vector bundles, linear systems andextensions of (1).- O. Debarre: Vers uns stratification del’espace des modules des varietes abeliennes principalementpolarisees.- J.P. Demailly: Singular hermitian metrics onpositive line bundles.- T. Fujita: On adjoint bundles ofample vector bundles.- Y. Kawamata: Moderate degenerationsof algebraic surfaces.- U. Persson: Genus two fibrationsrevisited.- Th. Peternell, M. Szurek, J.A. Wisniewski:Numerically effective vector bundles with small Chernclasses.- C.A.M. Peters: On the rank of non-rigid periodmaps in the weight one and two case.- A.N. Tyurin: Thegeometry of the special components of moduli space of vectorbundles over algebraic surfaces of general type.