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Universitext

Algebraic Curves, the Brill and Noether Way

Authors: Casas Alvero, Eduardo

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  • Complete, self-contained presentation with proofs
  • Low-level prerequisites
  • Matter is presented from a decidedly geometric viewpoint, updating classical approaches
  • Exercises at the end of each chapter
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eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-030-29016-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-030-29015-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

 

About the authors

Eduardo Casas Alvero is Emeritus Professor at the University of Barcelona since October 2018, where he has been since the early seventies. His main research interests are in algebraic geometry. Casas Alvero is the author of numerous publications including several other successful books, including the following: Analytic Projective Geometry (EMS Publishing House, 2014), Singularities of Plane Curves (London Mathematical Society Lecture Notes Series 279, Cambridge University Press 2000) and Enumerative Theory of conics after Halphen (Lecture Notes in Mathematics 1196, Springer 1986).

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-030-29016-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-030-29015-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Curves, the Brill and Noether Way
Authors
Series Title
Universitext
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-29016-0
DOI
10.1007/978-3-030-29016-0
Softcover ISBN
978-3-030-29015-3
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XIV, 224
Topics