The aim of this book is to introduce the reader to the geometric
theory of algebraic varieties, in particular to the birational
geometry of algebraic varieties. This volume grew out of the
author's book in Japanese published in 3 volumes by Iwanami, Tokyo,
in 1977. While writing this English version, the author has tried
to rearrange and rewrite the original material so that even
beginners can read it easily without referring to other books, such
as textbooks on commutative algebra. The reader is only expected to
know the definition of Noetherin rings and the statement of the
Hilbert basis theorem. The new chapters 1, 2, and 10 have been
expanded. In particular, the exposition of D-dimension theory,
although shorter, is more complete than in the old version.
However, to keep the book of manageable size, the latter parts of
Chapters 6, 9, and 11 have been removed. I thank Mr. A. Sevenster
for encouraging me to write this new version, and Professors K. K.
Kubota in Kentucky and P. M. H. Wilson in Cam bridge for their
careful and critical reading of the English manuscripts and
typescripts. I held seminars based on the material in this book at
The University of Tokyo, where a large number of valuable comments
and suggestions were given by students Iwamiya, Kawamata,
Norimatsu, Tobita, Tsushima, Maeda, Sakamoto, Tsunoda, Chou,
Fujiwara, Suzuki, and Matsuda.
General
| Imprint: |
Springer-Verlag New York
|
| Country of origin: |
United States |
| Series: |
Graduate Texts in Mathematics, 76 |
| Release date: |
October 2011 |
| First published: |
1982 |
| Authors: |
S Iitaka
|
| Dimensions: |
235 x 155 x 20mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
357 |
| Edition: |
Softcover reprint of the original 1st ed. 1982 |
| ISBN-13: |
978-1-4613-8121-1 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Algebraic geometry
|
| LSN: |
1-4613-8121-5 |
| Barcode: |
9781461381211 |
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