In algebraic geometry, a Schubert variety is a certain subvariety of a Grassmannian, G r k ( V ) {\displaystyle \mathbf {Gr} _{k}(V)} of k {\displaystyle...

subspace in projective space with a given flag. For further details see Schubert variety. The intersection theory of these cells, which can be seen as the product...

polynomials were related to the failure of local Poincaré duality for Schubert varieties. In Kazhdan & Lusztig (1980b) they reinterpreted this in terms of...

Franz Peter Schubert (German: [fʁants ˈpeːtɐ ˈʃuːbɐt]; 31 January 1797 – 19 November 1828) was an Austrian composer of the late Classical and early Romantic...

to study under Felix Klein at University. Schubert cycle or Schubert variety Schubert polynomial Schubert, Hermann (1979) [1879], Kleiman, Steven L....

In algebraic geometry, the Bott–Samelson resolution of a Schubert variety is a resolution of singularities. It was introduced by Bott & Samelson (1958)...

points, lines, etc., using the intersection theory of Schubert varieties. Subvarieties of Schubert cells can also be used to parametrize simultaneous eigenvectors...

details see Schubert variety. According to Van der Waerden and André Weil Hilbert problem fifteen has been solved. In particular, a) Schubert's characteristic...

ISBN 978-3-540-39274-3. Fulton, William; Pragacz, Piotr (1998). Schubert varieties and degeneracy loci. Lecture Notes in Mathematics. Vol. 1689. Springer-Verlag...

that corresponds to the inclusion order on Schubert varieties. The Bruhat order on the Schubert varieties of a flag manifold or a Grassmannian was first...

projective homogeneous varieties, the cells are called Schubert cells, and their closures are called Schubert varieties.) Cellular varieties are very special...

mathematics, Schubert polynomials are generalizations of Schur polynomials that represent cohomology classes of Schubert cycles in flag varieties. They were...

major, D 944, known as The Great, is the final symphony completed by Franz Schubert. It was first published by Breitkopf & Härtel in 1849 as "Symphonie / C...

representation theory, including in particular the theory of flag varieties and Schubert varieties. Lakshmibai earned her PhD in 1976 from the Tata Institute...

describes the sections of a line bundle over a generalized flag variety or Schubert variety of a reductive algebraic group by giving an explicit basis of...

algebraic groups over finite fields. Generalized flag variety, Bruhat decomposition, Schubert variety, Schubert calculus Schur algebra, Deligne–Lusztig theory...

Fp(t1/p); then Spec E is a variety of dimension 0 over k which is a regular scheme, but not smooth over k. Schubert varieties are in general not smooth...

i.e., the group of upper triangular matrices. 2.  A Schubert variety is the closure of a Schubert cell. scroll A rational normal scroll is a ruled surface...

D. 935, are a set of four impromptus for solo piano composed by Franz Schubert in 1827. They were written in the same year as the Impromptus, Op. 90,...

c_{\lambda \mu }^{\nu }\sigma _{\nu }} where σμ is the class of the Schubert variety of a Grassmannian corresponding to μ. cν λμ   is the number of times...

Invariant theory, old and new. He proved theorems in Schubert calculus about singularities of Schubert varieties. The Carrell–Liebermann theorem on the zero set...

Ramanathan, A. (1985), "Frobenius splitting and cohomology vanishing for Schubert varieties", Annals of Mathematics, Second Series, 122 (1): 27–40, doi:10.2307/1971368...

S.; Ramanathan, A. (1985), "Projective normality of flag varieties and Schubert varieties", Inventiones Mathematicae, 79 (2): 217–224, doi:10.1007/BF01388970...

intersection of the corresponding Schubert varieties. As an application, they showed that if the Schubert varieties are defined with respect to distinct...

combinatorics. She is known for her contributions on Schubert polynomials, singular loci of Schubert varieties, Kostant polynomials, and Kazhdan–Lusztig polynomials...

Tammie Brown is the stage name of Keith Glen Schubert (born September 15, 1980), an American drag performer, reality television personality, and recording...

polynomials with certain invariants (local intersection cohomology) of Schubert varieties. Elias and Williamson were able to follow this path of proof also...

influenced the field. His work on Geometric Invariant Theory and on Schubert varieties, in particular his introduction of standard monomial theory, is widely...

in the work of Bousquet-Mélou & Butler (2007), who showed that the Schubert variety corresponding to π is locally factorial if and only if π avoids 1324...

decades. His repertoire also included the works of Beethoven, Mozart, Schubert, Liszt, Tchaikovsky, Saint-Saëns, Schumann and more. Arthur Rubinstein...