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Schubert Varieties and Degeneracy Loci / by William Fulton, Piotr Pragacz.

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Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2383 2385,2388-2389
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Format:
Book
Author/Creator:
Fulton, William, 1939- author.
Pragacz, Piotr, author.
Contributor:
SpringerLink (Online service)
Series:
Lecture Notes in Mathematics, 0075-8434 ; 1689.
Lecture Notes in Mathematics, 0075-8434 ; 1689
Language:
English
Subjects (All):
Geometry, Algebraic.
Combinatorial analysis.
Group theory.
Algebraic topology.
Algebraic Geometry.
Combinatorics.
Group Theory and Generalizations.
Algebraic Topology.
Local Subjects:
Algebraic Geometry.
Combinatorics.
Group Theory and Generalizations.
Algebraic Topology.
Physical Description:
1 online resource (X, 150 pages).
Contained In:
Springer eBooks
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
System Details:
text file PDF
Summary:
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:
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.
Other Format:
Printed edition:
ISBN:
9783540698043
Access Restriction:
Restricted for use by site license.

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