This list of books are ONLY the books that have been ranked on the lists that are aggregated on this site. This is not a comprehensive list of all books by this author.

1. 1. Algebraic Curves

   An Introduction to Algebraic Geometry

   

   A concise, accessible introduction to the geometry and function-field theory of algebraic curves that develops plane projective curves, singularities and normalization, divisors and linear systems, genus and the Riemann–Roch theorem, differentials and ramification, and maps between curves. Emphasizing concrete examples (plane curves, rational and elliptic cases), computations and exercises, the text connects the algebraic, geometric and complex-analytic viewpoints and prepares readers for further study of birational classification and the correspondence between curves and their function fields.