The Enumerative Theory of Conics After Halphen (Lecture Notes in Mathematics)

Science & Math

Casas-Alvero, Eduardo

Xambo-Descamps, Sebastian

Mathematics

Springer, Verlag

<p>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.</p> <br>

Algebraic Curves, the Brill and Noether Way (Universitext)

Springer

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Books by Casas-Alvero, Eduardo