Algebraic Geometry (Translations of Mathematical Monographs)

by Masayoshi Miyanishi

Description

Students often find, in setting out to study algebraic geometry, that most of the serious textbooks on the subject require knowledge of ring theory, field theory, local rings and transcendental field extensions, and even sheaf theory. Often the expected background goes well beyond college mathematics. This text, aimed at senior undergraduates and graduate students, attempts to provide an understanding of algebraic surfaces while presenting the necessary background along the way. It presents show more a self-contained introduction to the fundamentals of algebraic geometry. The book begins with background on commutative algebras, sheaf theory and related cohomology theory. The next part introduces schemes and algebraic varieties, the basic language of algebraic geometry. The last section brings readers to a point at which they can start to learn about the classification of algebraic surfaces. show less