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- catalog abstract "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.".
- catalog contributor b10898254.
- catalog contributor b10898255.
- catalog created "1998.".
- catalog date "1998".
- catalog date "1998.".
- catalog dateCopyrighted "1998.".
- catalog description "Includes bibliographical references and indexes.".
- catalog description "Preface -- Introduction 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 manifolds and determinantal formulas for other classical groups -- P-and Q-polynomial formulas for other classical groups -- The classes of Brill-Noether loci in Prym varieties -- Applications and open problems -- Appendices.".
- catalog description "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.".
- catalog extent "ix, 148 p. ;".
- catalog hasFormat "Schubert varieties and degeneracy loci.".
- catalog identifier "3540645381 (softcover : alk. paper)".
- catalog isFormatOf "Schubert varieties and degeneracy loci.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1689.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1689".
- catalog issued "1998".
- catalog issued "1998.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Schubert varieties and degeneracy loci.".
- catalog subject "510 s 516.3/53 21".
- catalog subject "Algebraic topology.".
- catalog subject "Combinatorics.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Group theory.".
- catalog subject "Intersection theory.".
- catalog subject "Mathematics.".
- catalog subject "Notes from a summer school held June 19-23, 1995, in Thurnau, Germany.".
- catalog subject "QA3 .L28 no. 1689 QA564".
- catalog subject "Schubert varieties.".
- catalog subject "Vector bundles.".
- catalog tableOfContents "Preface -- Introduction 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 manifolds and determinantal formulas for other classical groups -- P-and Q-polynomial formulas for other classical groups -- The classes of Brill-Noether loci in Prym varieties -- Applications and open problems -- Appendices.".
- catalog title "Schubert varieties and degeneracy loci / William Fulton, Piotr Pragacz.".
- catalog type "text".