Klaus Hulek

Herbert Lange

Wolf P. Barth

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Proceedings of the International Conference held in Egloffstein, Germany, October 3-8, 1993

Abelian Varieties

Persönliches Wachstum ist das Ziel - wirksame Selbstlenkung ist der Weg. Kann sich der Mensch selbst wirksam lenken, dann resultieren daraus viele Vorteile für ihn. Mit dieser Fähigkeit ausgestattet, kann er in seinem Leben auftauchende Probleme besser lösen, seine Wunschziele erfolgreich anstreben und insgesamt einen Lebensstil kultivieren, der zu ihm passt. Zwei Voraussetzungen sind hierfür besonders wichtig: Erstens sollte jeder seinen Autopiloten kennen, das heißt seine automatisiert ablaufenden Denk-, Fühl- und Verhaltensmuster. Dazu gehört auch, eventuell vorhandene Sabotage-Programme zu identifizieren. Denn: Wer nix checkt, kann nix ändern! Um nicht länger Gefangener des eigenen Autopiloten zu bleiben ist zweitens wichtig, sein "Navigationssystem" gewinnbringend beeinflussen zu können. Dieses enthält neben vielen hilfreichen Tools auch oft eine Art Schadsoftware, die es zu löschen oder zumindest abzuschwächen gilt. Gelingt beides, dann sind die Aussichten gut, das eigene Leben in die gewünschte positive Richtung zu ändern. Der methodisch innovative LANGEWEG zeigt, wie das funktioniert. Er vertritt dabei eine kooperative und ethisch verankerte Grundphilosophie.

DerLangeWeg Sein Leben lenken lernen

Wer nix checkt, kann nix ändern!

Christina Birkenhake

Although special complex tori, namely abelian varieties, have been investigated for nearly 200 years, not much is known about arbitrary complex tori."--BOOK JACKET. "Complex Tori is aimed at the mathematician and graduate student and will be useful in the classroom or as a resource for self-study."--BOOK JACKET.

Complex Tori

Wolf-P. Barth

It was the aim of the Erlangen meeting in May 1988 to bring together number theoretists and algebraic geometers to discuss problems of common interest, such as moduli problems, complex tori, integral points, rationality questions, automorphic forms. In recent years such problems, which are simultaneously of arithmetic and geometric interest, have become increasingly important. This proceedings volume contains 12 original research papers. Its main topics are theta functions, modular forms, abelian varieties and algebraic three-folds.

Proceedings of a Conference held in Erlangen, FRG, May 27-31, 1988

Arithmetic of Complex Manifolds

A complex torus is a connected compact complex Lie group. Any complex 9 9 torus is of the form X =

This book explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results in modern language. The second edition adds five chapters on recent results including automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture. ". . . far more readable than most . . . it is also much more complete." Olivier Debarre in Mathematical Reviews, 1994.

Complex Abelian Varieties

Abelian varieties are special examples of projective varieties. As such theycan be described by a set of homogeneous polynomial equations. The theory ofabelian varieties originated in the beginning of the ninetheenth centrury with the work of Abel and Jacobi. The subject of this book is the theory of abelian varieties over the field of complex numbers, and it covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference. The focal topics are the projective embeddings of an abelian variety, their equations and geometric properties. Moreover several moduli spaces of abelian varieties with additional structure are constructed. Some special results onJacobians and Prym varieties allow applications to the theory of algebraic curves. The main tools for the proofs are the theta group of a line bundle, introduced by Mumford, and the characteristics, to be associated to any nondegenerate line bundle. They are a direct generalization of the classical notion of characteristics of theta functions.

Herbert Lange

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