The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and their Jacobians

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Springer Science & Business Media, Sep 17, 1999 - Mathematics - 314 pages
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Mumford's famous Red Book gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduate students or mathematicians in other fields wishing to learn quickly what algebraic geometry is all about.
This new edition also includes an overview of the theory of curves, their moduli spaces and their Jacobians, one of the most exciting fields within algebraic geometry. The book is aimed at graduate students and professors seeking to learn
i) the concept of "scheme" as part of their study of algebraic geometry and
ii) an overview of moduli problems for curves and of the use of theta functions to study these.
 

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Contents

IV
1
VI
5
VII
11
VIII
16
IX
25
X
33
XI
40
XII
48
XXV
138
XXVI
146
XXVII
153
XXVIII
164
XXIX
174
XXX
183
XXXI
187
XXXII
196

XIII
54
XIV
57
XV
65
XVI
66
XVII
77
XVIII
86
XIX
94
XX
103
XXI
112
XXII
121
XXIII
127
XXIV
137
XXXIII
207
XXXIV
214
XXXV
225
XXXVI
229
XXXVII
243
XXXVIII
257
XXXIX
271
XL
287
XLI
293
XLIII
294
XLIV
301
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