Algebraic Curves, the Brill and Noether Way

  • Eduardo Casas-Alvero

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Eduardo Casas-Alvero
    Pages 1-26
  3. Eduardo Casas-Alvero
    Pages 27-56
  4. Eduardo Casas-Alvero
    Pages 57-108
  5. Eduardo Casas-Alvero
    Pages 109-216
  6. Back Matter
    Pages 217-224

About this book


The book presents the central facts of the local, projective and intrinsic theories of complex algebraic plane curves, with complete proofs and starting from low-level prerequisites. It includes Puiseux series, branches, intersection multiplicity,  Bézout theorem, rational functions, Riemann-Roch theorem and rational maps. It is aimed at graduate and advanced undergraduate students, and also at anyone interested in algebraic curves or in an introduction to algebraic geometry via curves.



Algebraic curves Puiseux series Intersection multiplicity Algebraic functions of a single variable Rational functions of curves

Authors and affiliations

  • Eduardo Casas-Alvero
    • 1
  1. 1.Matemàtiques i InformàticaUniversitat de BarcelonaBarcelonaSpain

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-29015-3
  • Online ISBN 978-3-030-29016-0
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site