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Carte Grassmannian Variety V. Lakshmibai

Grassmannian Variety

Geometric and Representation-Theoretic Aspects

Autor: V. Lakshmibai, Justin Brown
Limbă: engleză
Legare: Copertă tare
Editura: Springer-Verlag New York Inc.
Disponibilitate: În depozitul extern
Expediem în 10-18 zile
289.29 lei
This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvariet...

Informații despre carte

Autor
V. Lakshmibai, Justin Brown
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2015
Pagini
172
EAN
9781493930814
ISBN
1493930818
Enbook ID
09371373
Editura
Springer-Verlag New York Inc.
Greutate
432
Dimensiuni
242 x 206 x 16

Descriere completă

This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties. Research of Grassmannian varieties is centered at the crossroads of commutative algebra, algebraic geometry, representation theory, and combinatorics. Therefore, this text uniquely presents an exciting playing field for graduate students and researchers in mathematics, physics, and computer science, to expand their knowledge in the field of algebraic geometry. The standard monomial theory (SMT) for the Grassmannian varieties and their Schubert subvarieties are introduced and the text presents some important applications of SMT including the Cohen-Macaulay property, normality, unique factoriality, Gorenstein property, singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory.§§This text would serve well as a reference book for a graduate work on Grassmannian varieties and would be an excellent supplementary text for several courses including those in geometry of spherical varieties, Schubert varieties, advanced topics in geometric and differential topology, representation theory of compact and reductive groups, Lie theory, toric varieties, geometric representation theory, and singularity theory. The reader should have some familiarity with commutative algebra and algebraic geometry.§

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