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Singular Loci Of Schubert Varieties 2000 Edition at Meripustak

Singular Loci Of Schubert Varieties 2000 Edition

Books from same Author: Sara Sarason V. Lakshmibai

Books from same Publisher: BIRKHAUSER

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    • General Information  
    Author(s)Sara Sarason V. Lakshmibai
    PublisherBIRKHAUSER
    ISBN9780817640927
    Pages251
    BindingHardback
    LanguageEnglish
    Publish YearSeptember 2000

    Description

    BIRKHAUSER Singular Loci Of Schubert Varieties 2000 Edition by Sara Sarason V. Lakshmibai

    "Singular Loci of Schubert Varieties" is a unique work at the crossroads of representation theory algebraic geometry and combinatorics. Over the past 20 years many research articles have been written on the subject in notable journals. In this work Billey and Lakshmibai have recreated and restructured the various theories and approaches of those articles and present a clearer understanding of this important subdiscipline of Schubert varieties - namely singular loci. The main focus therefore is on the computations for the singular loci of Schubert varieties and corresponding tangent spaces. The methods used include standard monomial theory the nil Hecke ring and Kazhdan-Lusztig theory. New results are presented with sufficient examples to emphasize key points. A comprehensive bibliography index and tables - the latter not to be found elsewhere in the mathematics literature - round out this concise work. After a good introduction giving background material the topics are presented in a systematic fashion to engage a wide readership of researchers and graduate students. Table of contents : 1. Introduction.- 2. Generalities on G/B and G/Q.- 3. Specifics for the Classical Groups.- 4. The Tangent Space and Smoothness.- 5. Root System Description of T(w ?).- 6. Rational Smoothness and Kazhdan-Lusztig Theory.- 7. Nil-Hecke Ring and the Singular Locus of X(w).- 8. Patterns Smoothness and Rational Smoothness.- 9. Minuscule and cominuscule G/P.- 10. Rank Two Results.- 11. Related Combinatorial Results.- 12. Related Varieties.- 13. Addendum.