Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51) (Paperback)

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.

General

Imprint:	Princeton University Press
Country of origin:	United States
Series:	Mathematical Notes
Release date:	February 2016
First published:	2016
Authors:	Paula Tretkoff
Appendix by:	Hans-Christoph Im Hof
Dimensions:	235 x 152 x 16mm (L x W x T)
Format:	Paperback - Trade
Pages:	232
ISBN-13:	978-0-691-14477-1
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General
LSN:	0-691-14477-X
Barcode:	9780691144771

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!