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Schubert Varieties and Degeneracy Loci / by William Fulton, Piotr Pragacz
(Lecture Notes in Mathematics. ISSN:16179692 ; 1689)

1st ed. 1998.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1998
本文言語 英語
大きさ X, 150 p : online resource
冊子体 Schubert varieties and degeneracy loci / William Fulton, Piotr Pragacz. ; 1689
著者標目 *Fulton, William author
Pragacz, Piotr author
SpringerLink (Online service)
件 名 LCSH:Algebraic geometry
LCSH:Discrete mathematics
LCSH:Group theory
LCSH:Algebraic topology
FREE:Algebraic Geometry
FREE:Discrete Mathematics
FREE:Group Theory and Generalizations
FREE:Algebraic Topology
一般注記 to degeneracy loci and schubert polynomials -- Modern formulation; Grassmannians, flag varieties, schubert varieties -- Symmetric polynomials useful in geometry -- Polynomials supported on degeneracy loci -- The Euler characteristic of degeneracy loci -- Flag bundles and determinantal formulas for the other classical groups -- and polynomial formulas for other classical groups -- The classes of Brill-Noether loci in Prym varieties -- Applications and open problems
Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, from a summer school in Thurnau, aim to give an introduction to these topics, and to describe recent progress on these problems. There are interesting interactions with the algebra of symmetric functions and combinatorics, as well as the geometry of flag manifolds and intersection theory and algebraic geometry
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書誌ID 4000109650
ISBN 9783540698043

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