| Dewey Class |
516.35 |
| Titel |
Schubert Varieties and Degeneracy Loci ([EBook]) / by William Fulton, Piotr Pragacz. |
| Verfasser |
Fulton, William, , 1939- |
| Added Personal Name |
Pragacz, Piotr author. |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
Berlin, Heidelberg : Springer , 1998. |
| Physical Details |
X, 150 pages : online resource. |
| Reihe |
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 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Algebraic Geometry .
Algebraic Topology .
Combinatorics .
Group theory .
Group Theory and Generalizations .
Mathematics .
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