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|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA564.SPR FCT 96739 (Browse shelf) | 1 | Available |
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| QA564.SPR FCT 96438 Rational points on elliptic curves | QA564.SPR FCT 96652 Beauville surfaces and groups | QA564.SPR FCT 96732 Period mappings with applications to symplectic complex spaces | QA564.SPR FCT 96739 The Grassmannian variety | QA564.SPR FCT 96906 Numerical semigroups and applications | QA564.SPR FCT 96987 Optimization of polynomials in non-commuting variables | QA564.SPR FCT 97030 Introduction to the theory of standard monomials |
Colocação: Online
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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