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Faisceaux amples sur les schemas en groupes et les espaces homogenes de Michel Raynaud

Faisceaux amples sur les schemas en groupes et les espaces homogenes: Lecture Notes in Mathematics, cartea 119

Autor Michel Raynaud
fr Limba Franceză Paperback –

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Specificații

ISBN-13: 9783540049081
ISBN-10: 3540049088
Pagini: 224
Ilustrații: 219 p.
Dimensiuni: 155 x 235 x 12 mm
Greutate: 0.32 kg
Ediția:1970
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Quelques notations.- Rappels sur les diviseurs et les faisceaux inversibles.- Sur le foncteur image directe.- Applications au foncteur de Picard et aux correspondances divisorielles.- Le théorème du cube.- Faisceaux amples sur les schémas à groupe d’opérateur.- Cas des groupes et des espaces homogènes.- Cas des schémas en groupes lisses à fibres affines et des espaces homogènes sous iceux.- Cas où la base est un schéma régulier de dimension 1.- Compléments sur les sous-tores d’un schéma en groupes.- Elimination des hypothèses de connexité.- Quasi-projectivité globale de certains schémas en groupes. Application à la descente.- Exemples de schémas abéliens non localement projectifs.- Torseurs sous un schéma abélien.- Torseurs localement isotriviaux sous un groupe algébrique.- Contre-exemples et questions ouvertes.