Schubert Varieties and Degeneracy Loci

Name: Schubert Varieties and Degeneracy Loci
Price: 41.77 USD
Availability: InStock
ISBN: 9783540645382

ISBN-10: 3540645381

ISBN-13: 9783540645382

Edition: 1998

Authors: William Fulton, Piotr Pragacz

List price: $49.99

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Description:

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.

Book details

List price: $49.99
Copyright year: 1998
Publisher: Springer
Publication date: 7/16/1998
Binding: Paperback
Pages: 150
Size: 9.25" wide x 6.50" long x 0.50" tall
Weight: 0.550
Language: English



Preface



Introduction 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 manifolds and determinantal formulas for other classical groups



P- and Q-polynomial formulas for other classical groups



The classes of Brill-Noether loci in Prym varieties



Applications and open problems



Intersection theory; polynomials representing degeneracy loci



Vexillary permutations and multi-Schur polynomials



Bott-Samelson schemes



Pfaffians



Group-theoretic approaches



Push-forward formulas



The classes of relative diagonals



A construction of Mumford



Schur-Weyl modules



Quantum double Schubert polynomials



Bibliography


Index of Notation


General Index