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 study 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, such assheaf cohomology, schemes, Riemann-Roch type theorems, algebraic fundamental group, motives, etc. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.). Also included are letters written between 1984 and 1987. Theletters 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. TheEnglish translation for this volume was translated by Catriona Maclean and edited by J-P. Serre and Leila Schneps. 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 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 |
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 acts actually affine algebraic analytic anneau anneau local automorphisms bijective Bourbaki bundle c’est Cartan characteristic classes classification closed coefficients cohomologie commutative complex conjecture conjectures de Weil corps local courbes elliptiques d’ailleurs d’autres d’où d’un d’une defined défini definition démonstration dimension elements elliptic curves exact sequence example extension fact faisceau fiber fibré fibrés find finie first following follows foncteur formula Frobenius functions functor fundamental group Galois general given gives good Grothendieck group G groupe de Galois groupe fondamental groupes algébriques holds homomorphism homomorphisme isomorphism isomorphisme J’ai jacobienne know l’anneau l’on locally module morphisme n’ai n’est non-singular number open probably projective proof prove proved qu’il qu’on qu’un question quotient result ring same scheme semi-simple sheaf sheaves show space spectral sequence Steenrod subgroup suite spectrale surjective Tate théorème theory things trivial type fini using valuation variété abélienne variété algébrique weight work