Schubert varieties and degeneracy loci

著者

• Fulton, William
• Pragacz, Piotr

書誌事項

Schubert varieties and degeneracy loci

William Fulton, Piotr Pragacz

（Lecture notes in mathematics, 1689）

Springer, c1998

注記

Includes bibliographical references (p. [139]-142) and indexes

内容説明・目次

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA36766549
• ISBN:
  • 3540645381
• LCCN: 98022160
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin ; New York
• ページ数/冊数: ix, 148 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA3
  • LCC : QA564
  • DC21 : 510 s
  • DC21 : 516.3/53
  • NDC8 : 411.8
• 件名:
  • LCSH : Notes from a summer school held June 19-23, 1995, in Thurnau, Germany
  • LCSH : Schubert varieties
  • LCSH : Intersection theory
  • LCSH : Vector bundles
• 親書誌ID:
  • BA00146586