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Książka Grassmannian Variety V. Lakshmibai

Grassmannian Variety

Geometric and Representation-Theoretic Aspects

Autor: V. Lakshmibai
Język: Angielski
Oprawa: Miękka
Wydawca: Springer-Verlag New York Inc.
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-18 dni
228.04 zł
This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvariet...

Informacje o książce

Autor
V. Lakshmibai
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2016
strony
172
EAN
9781493956081
ISBN
1493956086
Enbook ID
15178736
Wydawca
Springer-Verlag New York Inc.
Waga
302
Wymiary
155 x 236 x 18

Pełny opis

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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