Algebraic Geometry: A First Course

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Springer Science & Business Media, Sep 17, 1992 - Mathematics - 328 pages
2 Reviews
This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners.
 

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Contents

V
3
VI
5
VII
6
VIII
8
XI
9
XII
10
XIII
11
XV
12
CXIII
136
CXV
138
CXVI
142
CXVIII
143
CXIX
146
CXX
148
CXXII
149
CXXIII
151

XVI
14
XVII
16
XIX
17
XX
18
XXI
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XXII
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XXIII
24
XXV
25
XXVI
27
XXVII
28
XXVIII
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XXIX
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XXXI
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XXXII
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XXXIII
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XXXIV
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XXXV
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XXXVI
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XXXVII
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XXXVIII
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XXXIX
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XL
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XLI
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XLII
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XLIII
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XLIV
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XLV
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XLVI
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XLVII
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XLVIII
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XLIX
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L
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LI
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LII
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LIII
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LIV
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LV
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LVII
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LVIII
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LX
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LXI
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LXII
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LXIII
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LXIV
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LXV
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LXVII
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LXVIII
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LXIX
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LXX
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LXXI
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LXXII
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LXXIII
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LXXIV
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LXXV
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LXXVII
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LXXVIII
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LXXIX
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LXXX
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LXXXI
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LXXXIII
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LXXXIV
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LXXXV
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LXXXVI
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LXXXVIII
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LXXXIX
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XC
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XCI
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XCII
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XCIII
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XCV
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XCVI
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XCVII
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C
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CI
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CII
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CIII
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CIV
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CVI
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CVII
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CVIII
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CIX
126
CXI
127
CXII
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CXXIV
152
CXXV
155
CXXVII
156
CXXVIII
157
CXXIX
158
CXXX
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CXXXI
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CXXXIV
163
CXXXV
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CXXXVII
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CXXXVIII
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CXXXIX
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CXL
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CXLI
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CXLII
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CXLIII
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CXLIV
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CXLV
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CXLVI
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CXLVII
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CXLVIII
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CXLIX
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CL
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CLI
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CLII
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CLIII
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CLIV
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CLV
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CLVII
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CLVIII
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CLIX
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CLX
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CLXI
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CLXII
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CLXIII
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CLXIV
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CLXV
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CLXVI
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CLXVII
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CLXVIII
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CLXIX
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CLXX
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CLXXI
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CLXXII
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CLXXIII
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CLXXIV
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CLXXV
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CLXXVI
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CLXXVII
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CLXXVIII
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CLXXIX
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CLXXX
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CLXXXI
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CLXXXII
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CLXXXIII
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CLXXXIV
256
CLXXXV
258
CLXXXVI
260
CLXXXVII
264
CLXXXVIII
266
CLXXXIX
268
CXC
273
CXCI
275
CXCII
278
CXCIII
279
CXCIV
282
CXCV
283
CXCVI
284
CXCVII
285
CXCVIII
287
CXCIX
289
CC
290
CCI
291
CCII
293
CCIII
295
CCV
296
CCVI
297
CCVII
299
CCVIII
301
CCIX
308
CCX
314
CCXI
317
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Page 315 - Pragacz P.) Classes of determinantal varieties associated with symmetric and skew-symmetric matrices.
Page 315 - Geometric algebrique et geometric analytique," Ann. Inst. Fourier, Grenoble, 6, 1956, 1-42. [W] Wilson, G. "Hilbert's sixteenth problem.

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About the author (1992)

Benedict Gross" is the Leverett Professor of Mathematics and Dean of Harvard College.

"Joe Harris" is the Higgins Professor of Mathematics and Chair of the Mathematics Department at Harvard.

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