ENGLISH

Algebraic Geometry

By Masayoshi Miyanishi

Book information

Publisher
American Mathematical Society
Year
1994
ISBN
0821846159, 9780821846155
ISSN
0065-9282
LCC
QA564 .M5713 1994
Open Library ID
OL1078730M
Language
english
Format
DJVU
Filesize
3 MB (3277537 bytes)
Series
Translations of mathematical monographs 136
Pages
241\241
Library
mexmat
Time added
2009-07-20 03:45:11

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 book, aimed at senior undergraduates and graduate students, grew out of Miyanishi's attempt to lead students to an understanding of algebraic surfaces while presenting the necessary background along the way. Originally published in the Japanese in 1990, it presents a self-contained introduction to the fundamentals of algebraic geometry. This 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

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