Moduli Spaces of Abelian Surfaces : Compactification, Degenerations and Theta Functions

Klaus Hulek, Steven H. Weintraub, Constantin Kahn

ISBN 10: 3110138514 / ISBN 13: 9783110138511

Published by De Gruyter, 1993

About this Item

Zustand: Sehr gut | Seiten: 360 | Sprache: Englisch | Produktart: Bücher.

Seller Inventory # 416037/202

Bibliographic Details

• Title: Moduli Spaces of Abelian Surfaces : Compactification, Degenerations and Theta Functions
• Publisher: De Gruyter
• Publication Date: 1993
• Language: English
• ISBN 10: 3110138514
• ISBN 13: 9783110138511
• Binding: Hardcover
• Condition: Sehr gut

About this title

Synopsis

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.

Editorial Board

Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Aix-Marseille Université, France
Katrin Wendland, Trinity College Dublin, Dublin, Ireland

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Synopsis

The first third of the monograph focuses on the construction and description of toroidal compactifications of moduli spaces, which specializes to the Igusa compactification in the principally polarized case. In the next section, the emphasis is on the construction of degenerate Abelian surfaces, using Mumford's general theory. The last part discuss