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Geometry of the Plane Cremona Maps

  • Book
  • © 2002

Overview

Authors:
  1. Maria Alberich-Carramiñana
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1769)

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Table of contents (10 chapters)

  1. Front Matter

    Pages N2-XVI
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  2. 1. Preliminaries

    • Maria Alberich-Carramiñana
    Pages 1-28

  3. 2. Plane Cremona maps

    • Maria Alberich-Carramiñana
    Pages 29-71

  4. 3. Clebsch’s theorems and jacobian

    • Maria Alberich-Carramiñana
    Pages 73-100

  5. 4. Composition

    • Maria Alberich-Carramiñana
    Pages 101-125

  6. 5. Characteristic matrices

    • Maria Alberich-Carramiñana
    Pages 127-176

  7. 6. Total principal and special homaloidal curves

    • Maria Alberich-Carramiñana
    Pages 177-205

  8. 7. Inverse Cremona map

    • Maria Alberich-Carramiñana
    Pages 207-225

  9. 8. Noether’s factorization theorem

    • Maria Alberich-Carramiñana
    Pages 227-247

  10. References

    • Maria Alberich-Carramiñana
    Pages 249-251

  11. Subject and Index Notation

    • Maria Alberich-Carramiñana
    Pages 253-256

  12. Back Matter

    Pages 259-261
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Keywords

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 It also presents some material which has only appeared in research papers and includes new, previously unpublished results.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.

Bibliographic Information

  • Book Title: Geometry of the Plane Cremona Maps

  • Authors: Maria Alberich-Carramiñana

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b82933

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Softcover ISBN: 978-3-540-42816-9Published: 04 December 2001

  • eBook ISBN: 978-3-540-45538-7Published: 19 October 2004

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XVIII, 262

  • Topics: Algebraic Geometry

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