ALGEBRAIC GEOMETRY

This is a graduatelevel text on algebraic geometry that provides a quick and fully selfcontained development of the fundamentals including all commutative algebra which is used A taste of the deeper theory is given some topics such as local algebra and ramification theory are treated in depth The book culminates with a selection of topics from the theory of algebraic curves including the Riemann–Roch theorem elliptic curves the zeta function of a curve over a finite field and the Riemann hypothesis for elliptic curves