Thomas Peternell - Böcker

No detailed description available for "Higher Dimensional Complex Varieties".

No detailed description available for "Complex Analysis and Algebraic Geometry".

This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kahler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry

This book is a collection of research articles in algebraic geometry and complex analysis dedicated to Hans Grauert. The authors and editors have made their best efforts in order that these contributions should be adequate to honour the outstanding scientist. The volume contains important new results, solutions to longstanding conjectures, elegant new proofs and new perspectives for future research. The topics range from surface theory and commutative algebra, linear systems, moduli spaces, classification theory, Kahler geometry to holomorphic dynamical systems.

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.

This volume of the Encyclopaedia offers a systematic introduction and a comprehensive survey of the theory of complex spaces. It covers topics like semi-normal complex spaces, cohomology, the Levi problem, q-convexity and q-concavity. It is the first survey of this kind. The authors are internationally known outstanding experts who developed substantial parts of the field. The book contains seven chapters and an introduction written by Remmert, describing the history of the subject. The book will be very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry. Another group of readers will consist of mathematical physicists who apply results from these fields.

Presents lectures given at the 3rd session of the Centro Internazionale Matematico Estivo, held in Cetraro, Italy, in July 1994. The topics covered include four manifolds, line bundles and manifolds of semi-positive curvature.

This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kahler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry

If 9 ~ 2, the moduli space of X depends on 3g - 3 complex parameters. Thus problems in one complex variable lead, from the very beginning, to studies in several complex variables. Complex tori and moduli spaces are complex manifolds, i.e. Hausdorff spaces with local complex coordinates Z 1, ...

When Grauert came on the scene in the early 1950's, function theory was going through a revolutionary period with the geometric theory of complex spaces still in its embryonic stage.