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Schubert Varieties and Degeneracy Loci

Schubert Varieties and Degeneracy Loci
Catalogue Information
Field name Details
Dewey Class 516.35
Title Schubert Varieties and Degeneracy Loci ([EBook]) / by William Fulton, Piotr Pragacz.
Author Fulton, William. , 1939-
Added Personal Name Pragacz, Piotr author.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 1998.
Physical Details X, 150 pages : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1689
ISBN 9783540698043
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0096380
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