Overview

This book introduces the theory of complex surfaces through a comprehensive look at finite covers of the projective plane branched along line arrangements. Paula Tretkoff emphasizes those finite covers that are free quotients of the complex two-dimensional ball. Tretkoff also includes background on the classical Gauss hypergeometric function of one variable, and a chapter on the Appell two-variable F1 hypergeometric function. The material in this book began as a set of lecture notes, taken by Tretkoff, of a course given by Friedrich Hirzebruch at ETH Zurich in 1996. The lecture notes were then considerably expanded by Hirzebruch and Tretkoff over a number of years. In this book, Tretkoff has expanded those notes even further, still stressing examples offered by finite covers of line arrangements. The book is largely self-contained and foundational material is introduced and explained as needed, but not treated in full detail. References to omitted material are provided for interested readers. Aimed at graduate students and researchers, this is an accessible account of a highly informative area of complex geometry.

Full Product Details

Author:   Paula Tretkoff ,  Hans-Christoph Im Hof
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Dimensions:   Width: 15.20cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.340kg
ISBN:  

9780691144771

ISBN 10:   069114477
Pages:   232
Publication Date:   16 February 2016
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.
Language:   English

Table of Contents

Reviews

"""A very welcome addition to the literature and is recommended for anyone interested in the theory under discussion.""--Daniel Greb, MathSciNet"

A very welcome addition to the literature and is recommended for anyone interested in the theory under discussion. --Daniel Greb, MathSciNet

Author Information

Paula Tretkoff is professor of mathematics at Texas A&M University and director of research in the National Center for Scientific Research (CNRS) at the Universit de Lille 1, France.

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions