Algebraic Surfaces (Google eBook)

Front Cover
Springer Science & Business Media, Feb 15, 1995 - Mathematics - 276 pages
0 Reviews
The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebro-geometric, topological and transcendental. To achieve this aim, and still remain inside the limits of the allotted space, it was necessary to confine the exposition to topics which are absolutely fundamental. The present work therefore makes no claim to completeness, but it does, however, cover most of the central points of the theory. A presentation of the theory of surfaces, to be effective at all, must above all give the typical methods of proof used in the theory and their underlying ideas. It is especially true of algebraic geometry that in this domain the methods employed are at least as important as the results. The author has therefore avoided, as much as possible, purely formal accounts of results. The proofs given are of necessity condensed, for reasons of space, but no attempt has been made to condense them beyond the point of intelligibility. In many instances, due to exigencies of simplicity and rigor, the proofs given in the text differ, to a greater or less extent, from the proofs given in the original papers.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

I
4
II
9
III
11
IV
12
V
16
VI
23
VIII
26
IX
28
LI
134
LII
136
LIII
137
LIV
138
LV
139
LVI
141
LVII
142
LVIII
146

X
30
XI
33
XII
35
XIII
40
XIV
42
XV
44
XVI
50
XVIII
52
XIX
54
XX
57
XXI
59
XXII
65
XXIV
69
XXV
70
XXVI
74
XXIX
76
XXX
79
XXXI
82
XXXII
87
XXXIII
91
XXXV
94
XXXVI
97
XXXVII
103
XXXIX
106
XL
110
XLI
112
XLII
117
XLIII
128
XLVII
129
XLVIII
130
XLIX
131
L
132
LIX
155
LXII
156
LXIII
158
LXIV
164
LXV
168
LXVI
172
LXVII
176
LXVIII
181
LXIX
185
LXX
190
LXXI
196
LXXII
206
LXXV
209
LXXVI
210
LXXVII
213
LXXVIII
218
LXXIX
223
LXXX
228
LXXXI
231
LXXXIII
232
LXXXIV
234
LXXXV
236
LXXXVI
237
LXXXVII
238
XC
240
XCI
243
XCII
244
XCIII
247
XCIV
255
XCV
268
Copyright

Common terms and phrases

References to this book

All Book Search results »

About the author (1995)

Biography of Oscar Zariski

Oscar Zariski (24.4.1899-4.7.1986) was born in Kobryn, Poland, and studied at the universities of Kiev and Rome. He held positions at Rome University, John Hopkins University, the University of Illinois and from 1947 at Harvard University.

Zariski's main fields of activity were in algebraic geometry, algebra, algebraic function theory and topology. His most influential results bear on algebraic surfaces, the resolution of singularities and the foundations of algebraic geometry over arbitrary fields.

Bibliographic information