Flag varieties

Gonciulea N ; Lakshmibai V
HERMANN
47,10 €
Sur commande, 2 à 4 jours
EAN : 9782705663896

Flag varieties constitute an important class of homogeneous spaces. Because of their rich geometry and combinatorics, they represent fundamental objects in the areas of Algebraic Geometry, Algebraic Groups and Representation Theory. This book provides an introduction to the subject, and presents the interplay of flag varieties among Geometry, Combinatorics and Representation Theory. The Schubert subvarieties provide a powerful inductive machinery for the study of flag varieties. The central theme of this book is the theory of Schubert varieties - their geometric properties, ideal theory, singularity theory. This book also presents the relationship between Schubert varieties and certain affine varieties - classical determinantal varieties, ladder determinantal varieties, quiver varieties. varieties of complexes, certain affine toric varieties. This book includes a detailed treatment of the classical determinantal varieties, their normality, Cohen-Macaulayness, singular loci, relationship to classical invariant theory : the treatment uses their relationship to Schubert varieties.

Nombre de pages 332
Date de parution 06/06/2001
Poids 544g
Largeur 178mm
Plus d'informations
Plus d'informations
EAN 9782705663896
Titre Flag varieties
Auteur Gonciulea N ; Lakshmibai V
Editeur HERMANN
Largeur 178
Poids 544
Date de parution 20010606
Nombre de pages 332,00 €

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