- 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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- 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
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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)
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Hypersurfaces, Elementary Facts
Pages 1-26
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Local Properties of Plane Curves
Pages 27-56
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Projective Properties of Plane Curves
Pages 57-108
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The Intrinsic Geometry on a Curve
Pages 109-216
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Table of contents (4 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Algebraic Curves, the Brill and Noether Way
- Authors
-
- Eduardo Casas Alvero
- 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
