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Schubert Varieties and Degeneracy Loci
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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Schubert Varieties and Degeneracy Loci ([EBook]) / by William Fulton, Piotr Pragacz.
Author
Fulton, William, , 1939-
Added Personal Name
Pragacz, Piotr
author.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1998.
Physical Details
X, 150 pages : online resource.
Series
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 to Related Works
Subject References:
Algebraic Geometry
.
Algebraic Topology
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Combinatorics
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Group theory
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Group Theory and Generalizations
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Mathematics
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Authors:
Fulton, William, 1939-
.
Fulton, William, 1939-
.
Pragacz, Piotr
.
Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
516.35
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