Grothendieck-Serre Correspondence (English and French Edition)

This extraordinary volume contains a large part of the mathematical correspondence between A. Grothendieck and J-P. Serre. It forms a vivid introduction to the development of algebraic geometry during the years 1955-1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. In the book, the reader can follow the creation of some of the most important notions of modern mathematics. The letters also reflect the mathematical and political atmosphere of this period. They are supplemented by J-P. Serre's notes, which give explanations, corrections, and references to further results. The book is a unique bilingual (French and English) volume. The original French text 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. The book also includes several facsimiles of original letters. The original French volume was edited by Pierre Colmez and J-P. Serre. The English translation for this volume was prepared by Catriona Maclean with the assistance of Leila Schneps and J-P. Serre. The book should be useful to specialists in algebraic geometry, mathematical historians, and to all mathematicians who want to experience the unfolding of great mathematics. 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, Schernes, 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.--book Jacket. Editors, Pierre Colmez, Jean-pierre Serre ; Translated By Catriona Maclean With The Assistance Of Lelia Schneps, Jean-pierre Serre. Opposite Pages Bear Duplicate Numbering. Includes Bibliographical References (p. [282]-286) And Index. Content: Correspondence by P. Colmez and J.-P. Serre Notes Bibliography.