Download or read book Algebraic Curves, the Brill and Noether Way written by Eduardo Casas-Alvero and published by Springer Nature. This book was released on 2019-11-30 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.