Schubert Varieties and Degeneracy Loci

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

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 interest...

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Bibliographic Details
Main Authors: Fulton, William (Author), Pragacz, Piotr (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
Edition:1st ed. 1998.
Series:Lecture Notes in Mathematics, 1689
Springer eBook Collection.
Subjects:
Algebraic geometry.
Combinatorics.
Group theory.
Algebraic topology.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of 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.

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