Schubert Varieties and Degeneracy Loci
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...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998, 1998
|
| Edition: | 1st ed. 1998 |
| Series: | Lecture Notes in Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
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