Schubert Varieties and Degeneracy Loci

William Fulton, Piotr Pragacz (Autoren)

Buch | Softcover

X, 150 Seiten

1998 | 1998
Springer Berlin (Verlag)
978-3-540-64538-2 (ISBN)

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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.

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.

Erscheint lt. Verlag	16.7.1998
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	X, 150 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	246 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebra • Algebraic Geometry • algebraic groups • algebraic topology • Algebraische Geometrie • combinatorics • Euler characteristic • Mannigfaltigkeit (Mathematik)
ISBN-10	3-540-64538-1 / 3540645381
ISBN-13	978-3-540-64538-2 / 9783540645382
Zustand	Neuware