Grothendieck-Serre CorrespondenceAmerican Mathematical Soc., 2004 - 576 pagina's 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. |
Inhoudsopgave
A Grothendieck November 22 1956 53 | 1 |
A Grothendieck October 17 1958 63 | 17 |
A Grothendieck August 18 1959 79 | 25 |
A Grothendieck October 31 1959 88 | 31 |
A Grothendieck 22 novembre 1956 | 53 |
A Grothendieck 17 octobre 1958 | 63 |
A Grothendieck 18 juillet 1959 | 75 |
JP Serre 25 octobre 1959 | 84 |
A Grothendieck 22 octobre 1961 | 121 |
A Grothendieck 31 octobre 1961 | 128 |
JP Serre septembre 1962 vendredi matin | 135 |
JP Serre avril 1963 | 143 |
A Grothendieck 8 août 1964 | 165 |
A Grothendieck 16 août 1964 | 172 |
A Grothendieck 5 septembre 1964 178 | 186 |
Notes | 255 |
Overige edities - Alles bekijken
Grothendieck-Serre Correspondence: Bilingual Edition Pierre Colmez,Jean-Pierre Serre Gedeeltelijke weergave - 2022 |
Grothendieck-Serre Correspondence Alexandre Grothendieck,Pierre Colmez Geen voorbeeld beschikbaar - 2004 |
Veelvoorkomende woorden en zinsdelen
abelian variety affine algebraic algebraic groups algebraic variety algébrique analytique anneau assez autre avoir Bourbaki bundle c'est canonique caractéristique Cartan catégorie cher cher Serre classes cohérent cohomology conjecture connexe d'ailleurs d'autres d'où d'une dear Serre defined défini démonstration deux dimension doute éléments elliptic curves espace être exemple extension façon faisceau fait faut fibré finite foncteur fonctions formule fraternité functor fundamental group Galois Galois group général Grothendieck group G group scheme H²(X Hº(X homomorphism homomorphisme isomorphic J'ai le faisceau local rings locaux module morphisme n'ai n'est nombre non-singular opère papier particulier peut produit projectif projective propre propriétés prouver qu'il qu'on question quotient réduction residue field résultat revêtements ring Salut et fraternité schéma scheme semble Serre sheaf sheaves singulière spectral sequence suite exacte suite spectrale suivante Tate theorem théorème theory trivial trouve type fini valuation variété abélienne vector bundle vrai
