Algebraic Curves, the Brill and Noether Way

von Eduardo Casas-Alvero
Zustand: Neu
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€ 53,48
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Eduardo Casas-Alvero Algebraic Curves, the Brill and Noether Way
Eduardo Casas-Alvero - Algebraic Curves, the Brill and Noether Way

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Beschreibung

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.

Mitwirkende

Autor:
Eduardo Casas-Alvero

Weitere Informationen

Anmerkung Illustrationen:
XIV, 224 p.
Inhaltsverzeichnis:
1. Hypersurfaces, elementary facts. -2. Local properties of plane curves. -3. Projective properties of plane curves. - 4. The intrinsic geometry of a curve
Bemerkungen:
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

Medientyp:
Taschenbuch
Verlag:
Springer International Publishing
Biografie:
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).
Rezension:

"The author ... produces a detailed, gradual introduction into the topic, which is not only extremely effective, but also highly enjoyable for its simple, fluent writing style." (Margherita Barile, Mathematical Reviews, October, 2020)

Sprache:
Englisch
Auflage:
1st ed. 2019
Seitenanzahl:
224

Stammdaten

Produkttyp :
Taschenbuch
Verpackungsabmessungen:
0.235 x 0.157 x 0.015 m; 0.346 kg
GTIN:
09783030290153
DUIN:
PP8VJGN7DKK
€ 53,48
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