UID:
almahu_9947921440202882
Format:
X, 150 p.
,
online resource.
ISBN:
9783540698043
Series Statement:
Lecture Notes in Mathematics, 1689
Content:
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.
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540645382
Language:
English
Subjects:
Mathematics
URL:
http://dx.doi.org/10.1007/BFb0096380
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(lizenzpflichtig)
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