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Complex ball quotients and line arrangements in the projective plane

Author: Paula Tretkoff
Publisher: Princeton : Princeton University Press, 2016.
Series: Mathematical notes, 51.
Edition/Format:   Print book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: Paula Tretkoff
ISBN: 9780691144771 069114477X
OCLC Number: 1001634840
Description: viii, 215 s. : illustrations.
Contents: *Frontmatter, pg. i*Contents, pg. vii*Preface, pg. ix*Introduction, pg. 1*Chapter One. Topological Invariants and Differential Geometry, pg. 6*Chapter Two. Riemann Surfaces, Coverings, and Hypergeometric Functions, pg. 23*Chapter Three. Complex Surfaces and Coverings, pg. 47*Chapter Four. Algebraic Surfaces and the Miyaoka-Yau Inequality, pg. 65*Chapter Five. Line Arrangements in P2(C) and Their Finite Covers, pg. 85*Chapter Six. Existence of Ball Quotients Covering Line Arrangements, pg. 126*Chapter Seven. Appell Hypergeometric Functions, pg. 167*Appendix A. Torsion-Free Subgroups of Finite Index by Hans-Christoph Im Hof, pg. 189*Appendix B. Kummer Coverings, pg. 197*Bibliography, pg. 205*Index, pg. 213
Series Title: Mathematical notes, 51.
Responsibility: by Paula Tretkoff.

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

 
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