Skip to main content
  • Book
  • © 2015

Birational Geometry of Foliations

Authors:

  • Presents the birational classification of holomorphic foliations of surfaces
  • Discuss the theory introduced by L.G. Mendes and M. McQuillan
  • First book published in IMPA Monographs series

Part of the book series: IMPA Monographs (IMPA, volume 1)

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiv
  2. Local Theory

    • Marco Brunella
    Pages 1-8
  3. Foliations and Line Bundles

    • Marco Brunella
    Pages 9-22
  4. Index Theorems

    • Marco Brunella
    Pages 23-40
  5. Some Special Foliations

    • Marco Brunella
    Pages 41-59
  6. Minimal Models

    • Marco Brunella
    Pages 61-67
  7. Global 1-Forms and Vector Fields

    • Marco Brunella
    Pages 69-79
  8. The Rationality Criterion

    • Marco Brunella
    Pages 81-90
  9. Numerical Kodaira Dimension

    • Marco Brunella
    Pages 91-105
  10. Kodaira Dimension

    • Marco Brunella
    Pages 107-125
  11. Back Matter

    Pages 127-130

About this book

The text presents the birational classification of holomorphic foliations of surfaces.  It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces  in the spirit of the classification of complex algebraic surfaces.

Authors and Affiliations

  • Institut de Mathématiques de Bourgogne; UMR 5584 - CNRS, Université de Bourgogne, Dijon, France

    Marco Brunella

About the author

Marco Brunella was a CNRS researcher working at Institut de Mathematiques de Bourgogne in Dijon, France. He has produced extraordinary mathematical work, focusing on the study of Holomorphic Foliations and Complex Geometry. Dr. Brunella passed away in January 2012, but his profound, creative mathematics continues to have an impact on geometers and analysts.

Bibliographic Information

  • Book Title: Birational Geometry of Foliations

  • Authors: Marco Brunella

  • Series Title: IMPA Monographs

  • DOI: https://doi.org/10.1007/978-3-319-14310-1

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2015

  • Hardcover ISBN: 978-3-319-14309-5Published: 07 April 2015

  • Softcover ISBN: 978-3-319-36565-7Published: 06 October 2016

  • eBook ISBN: 978-3-319-14310-1Published: 25 March 2015

  • Edition Number: 1

  • Number of Pages: XIV, 130

  • Number of Illustrations: 35 b/w illustrations

  • Topics: Hyperbolic Geometry, Number Theory, Geometry

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access