© 2002

Geometry of the Plane Cremona Maps

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1769)

Table of contents

  1. Front Matter
    Pages N2-XVI
  2. Maria Alberich-Carramiñana
    Pages 1-28
  3. Maria Alberich-Carramiñana
    Pages 29-71
  4. Maria Alberich-Carramiñana
    Pages 73-100
  5. Maria Alberich-Carramiñana
    Pages 101-125
  6. Maria Alberich-Carramiñana
    Pages 127-176
  7. Maria Alberich-Carramiñana
    Pages 177-205
  8. Maria Alberich-Carramiñana
    Pages 207-225
  9. Maria Alberich-Carramiñana
    Pages 227-247
  10. Maria Alberich-Carramiñana
    Pages 249-251
  11. Maria Alberich-Carramiñana
    Pages 253-256
  12. Back Matter
    Pages 259-261

About this book


This book provides a self-contained exposition of the theory of plane Cremona maps, reviewing the classical theory. The book updates, correctly proves and generalises a number of classical results by allowing any configuration of singularities for the base points of the plane Cremona maps. It also presents some material which has only appeared in research papers and includes new, previously unpublished results. This book will be useful as a reference text for any researcher who is interested in the topic of plane birational maps.


Base Birational map (plane) Cremora map (plane) Factor Jacobi Matrix behavior character cluster configuration equality geometry inequality review symmetry

Bibliographic information

  • Book Title Geometry of the Plane Cremona Maps
  • Authors Maria Alberich-Carraminana
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title LNM
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-42816-9
  • eBook ISBN 978-3-540-45538-7
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages XVIII, 262
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebraic Geometry
  • Buy this book on publisher's site
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