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  • Book
  • © 1998

Schubert Varieties and Degeneracy Loci

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1689)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-X
  2. Introduction to degeneracy loci and schubert polynomials

    • William Fulton, Piotr Pragacz
    Pages 1-13
  3. Symmetric polynomials useful in geometry

    • William Fulton, Piotr Pragacz
    Pages 26-39
  4. Polynomials supported on degeneracy loci

    • William Fulton, Piotr Pragacz
    Pages 40-52
  5. The Euler characteristic of degeneracy loci

    • William Fulton, Piotr Pragacz
    Pages 53-64
  6. and polynomial formulas for other classical groups

    • William Fulton, Piotr Pragacz
    Pages 79-91
  7. The classes of Brill-Noether loci in Prym varieties

    • William Fulton, Piotr Pragacz
    Pages 92-96
  8. Applications and open problems

    • William Fulton, Piotr Pragacz
    Pages 97-103
  9. Back Matter

    Pages 104-148

About this book

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.

Keywords

  • Algebraic geometry
  • Combinatorics
  • Euler characteristic
  • algebra
  • algebraic groups
  • algebraic topology

Bibliographic Information

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions