Algebraic Curves, the Brill and Noether Way

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Sprache: Englisch

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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.

Über den Autor

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).

Zusammenfassung

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

Inhaltsverzeichnis

1. Hypersurfaces, elementary facts. -2. Local properties of plane curves. -3. Projective properties of plane curves. - 4. The intrinsic geometry of a curve

Details

Erscheinungsjahr:	2019
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Universitext
Inhalt:	xiv 224 S.
ISBN-13:	9783030290153
ISBN-10:	3030290158
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Casas-Alvero, Eduardo
Auflage:	1st ed. 2019
Hersteller:	Springer International Publishing Springer International Publishing AG Universitext
Maße:	235 x 155 x 14 mm
Von/Mit:	Eduardo Casas-Alvero
Erscheinungsdatum:	05.12.2019
Gewicht:	0,371 kg

Artikel-ID: 116932471