Schubert varieties and degeneracy loci

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 interest...

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Главные авторы: Fulton, William, 1939-...., mathématicien, Pragacz, Piotr, 19..-...., mathématicien (Автор)
Формат: Livre numérique
Язык:Anglais
Опубликовано: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Серии:Lecture notes in mathematics 1689
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Примечание: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Schubert varieties and degeneracy loci, William Fulton, Piotr Pragacz, Berlin, Springer, 1998, 1 vol. (IX-148 p.), Lecture notes in mathematics, 3-540-64538-1
• Schubert Varieties and Degeneracy Loci, Texte imprimé, 9783662188125
Оглавление:
  • 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.