复代数曲面线

Complex Algebraic Curves is a comprehensive introduction to the study of complex algebraic curves, intended for third-year mathematics undergraduates who have taken courses in algebra, topology, and complex analysis. The book begins with an overview of the history of algebraic curves and their relationship with other areas of mathematics, such as number theory, singularities, and complex analysis. It then covers topics such as foundations, algebraic properties, topological properties, Riemann surfaces, differential functions on Riemann surfaces, and singular curves.One particularly interesting aspect of this book is its emphasis on applications to other branches of mathematics, such as number theory and topology. For example, the book covers the degree-genus formula, a powerful tool for computing the genus of a curve in terms of its degree. The book also includes exercises to help readers test their understanding of the materials, as well as supplementary material for more advanced readers.Overall, I highly recommend Complex Algebraic Curves to anyone interested in algebraic geometry, complex analysis, or related fields. The book is well-written and accessible, even for those with limited background in these areas. The exercises and supplementary material make it a valuable resource for students and researchers alike.