Complex ball quotients and line arrangements in the projective plane /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Tretkoff, Paula, 1957- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, [2016]
Colección:Mathematical notes ; 51.
Temas:
Curves, Elliptic.
Geometry, Algebraic.
Projective planes.
Unit ball.
Riemann surfaces.
Courbes elliptiques.
Géométrie algébrique.
Plans projectifs.
Boule unité.
Surfaces de Riemann.
MATHEMATICS > Geometry > General.
Curves, Elliptic
Geometry, Algebraic
Projective planes
Riemann surfaces
Unit ball
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface
  • Introduction
  • Chapter One. Topological Invariants and Differential Geometry
  • Chapter Two. Riemann Surfaces, Coverings, and Hypergeometric Functions
  • Chapter Three. Complex Surfaces and Coverings
  • Chapter Four. Algebraic Surfaces and the Miyaoka-Yau Inequality
  • Chapter Five. Line Arrangements in P2(C) and Their Finite Covers
  • Chapter Six. Existence of Ball Quotients Covering Line Arrangements
  • Chapter Seven. Appell Hypergeometric Functions
  • Appendix A. Torsion-Free Subgroups of Finite Index by Hans-Christoph Im Hof
  • Appendix B. Kummer Coverings
  • Bibliography
  • Index.

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