Grothendieck-Serre Correspondence

Voorkant
American Mathematical Soc., 2004 - 576 pagina's
The book is a bilingual (French and English) edition of the mathematical correspondence between A. Grothendieck and J-P. Serre. The original French text of 84 letters is supplemented here by the English translation, with French text printed on the left-hand pages and the corresponding English text printed on the right-hand pages. The book also includes several facsimiles of original letters. The letters presented in the book were mainly written between 1955 and 1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. The reader can follow the creation of some of the most important notions of modern mathematics, like sheaf cohomology, schemes, Riemann-Roch type theorems, algebraic fundamental group, motives. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.). Also included are a few letters written between 1984 and 1987. The letters are supplemented by J-P. Serre's notes, which give explanations, corrections, and references further results. The book should be useful to specialists in algebraic geometry, in history of mathematics, and to all mathematicians who want to understand how great mathematics is created.
 

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A Grothendieck November 22 1956 53
1
A Grothendieck November 12 1957 59
12
JP Serre October 22 1958 64
22
A Grothendieck 22 novembre 1956
53
A Grothendieck 17 octobre 1958
63
A Grothendieck November 5 1958
66
A Grothendieck 18 juillet 1959
75
JP Serre November 9 1958 68
79
A Grothendieck 22 octobre 1961
121
A Grothendieck 31 octobre 1961
128
JP Serre septembre 1962 vendredi matin
135
JP Serre April 1963
144
JP Serre avril 1963 143
143
JP Serre 1er avril 1964 146
165
A Grothendieck 16 août 1964
172
A Grothendieck 5 septembre 1964 178
203

JP Serre 25 octobre 1959
84
A Grothendieck 5 novembre 1959
94
JP Serre 15 novembre 1959
102
JP Serre 20 septembre 1961
110
Notes
255
Bibliographie
283
Index
287
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