Covers topics such as valuation theory; theory of polynomial and power series rings; and local algebra. This volume includes the algebro-geometric connections and applications of the purely algebraic material.
Covers topics such as valuation theory; theory of polynomial and power series rings; and local algebra. This volume includes the algebro-geometric con...
The purpose of this book is to revive some of the beautiful results obtained by various geometers of the 19th century, and to give its readers a taste of concrete algebraic geometry. A good deal of space is devoted to cross-ratios, conics, quadrics, and various interesting curves and surfaces. The fundamentals of projective geometry are efficiently dealt with by using a modest amount of linear algebra. An axiomatic characterization of projective planes is also given. While the topology of projective spaces over real and complex fields is described, and while the geometry of the complex...
The purpose of this book is to revive some of the beautiful results obtained by various geometers of the 19th century, and to give its readers a taste...
