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

Paula Tretkoff

Abstract

This book introduces the theory of complex surfaces through a comprehensive look at finite covers of the projective plane branched along line arrangements. It emphasizes those finite coverings that are free quotients of the complex 2-ball. The book also includes a background on the classical Gauss hypergeometric function of one variable, and a chapter on the Appell two-variable F1 hypergeometric function. The book began as a set of lecture notes, taken by the author, of a course given by Friedrich Hirzebruch at ETH Zürich in 1996. The lecture notes were then considerably expanded over a number ... More

Keywords: complex surface, line arrangement, Gauss hypergeometric function, Appell hypergeometric function, Friedrich Hirzebruch, finite covering, geometry, projective plane, complex 2-ball

Bibliographic Information

Print publication date: 2016 Print ISBN-13: 9780691144771
Published to Princeton Scholarship Online: October 2017 DOI:10.23943/princeton/9780691144771.001.0001

Authors

Affiliations are at time of print publication.

Paula Tretkoff, author
Texas A&M University