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.
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.
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
Autor*in
Eduardo Casas-Alvero
Themen in »Algebraic Curves, the Brill and Noether Way«
Algebraic curves Puiseux series Intersection multiplicity Algebraic functions of a single variable Rational functions of curves
Stimmen zu »Algebraic Curves, the Brill and Noether Way«
“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)
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