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Categories Confibrees Additives et Complexe Cotangent Relatif de Alexandre Grothendieck

Categories Confibrees Additives et Complexe Cotangent Relatif: Lecture Notes in Mathematics, cartea 79

Autor Alexandre Grothendieck
fr Limba Franceză Paperback – 1968

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Specificații

ISBN-13: 9783540042488
ISBN-10: 3540042482
Pagini: 176
Ilustrații: IV, 172 p.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.28 kg
Ediția:1968
Editura: Springer
Colecția Lecture Notes in Mathematics
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Catégories cofibrées additives.- Catégories cofibrées exactes à gauche.- Complexe typique LX. d'un objet de E. Procomplexe typique LE. de E.- Le proobjet NE et l'homorphisme caractéristique d'un objet de E.- Cas d'une catégorie cofibrée exacte à gauche.- Catégories cofibrées définies par des complexes de chaînes, et théorèmes de représentabilité.- Application aux extensions de faisceaux d'anneaux.- Application aux “variations infinitésimales” de faisceaux d'algèbres.- Propriétés générales du complexe cotangent relatif.- Suites exactes de transitivité.- Complexe cotangent relatif et relèvement infinitésimal de morphismes de topos annelés. Application aux morphismes formellement nets.- Applications du complexe cotangent relatif, et problèmes ouverts.