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MARC 21

Schubert Varieties and Degeneracy Loci
Tag	Description
020	$a9783540698043
082	$a516.35
099	$aOnline resource: Springer
100	$aFulton, William.$d1939-
245	$aSchubert Varieties and Degeneracy Loci$h[EBook]$cby William Fulton, Piotr Pragacz.
260	$aBerlin, Heidelberg$bSpringer$c1998.
300	$aX, 150 pages$bonline resource.
336	$atext
338	$aonline resource
440	$aLecture Notes in Mathematics,$x0075-8434 ;$v1689
505	$ato 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.
520	$aSchubert 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aPragacz, Piotr.$eauthor.
710	$aSpringerLink (Online service)
830	$aLecture Notes in Mathematics,$v1689
856	$uhttp://dx.doi.org/10.1007/BFb0096380