Results 11 to 20 of about 401,500 (259)

Singularities of Affine Schubert Varieties [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type A_l^{(1)}). For two classes of affine Schubert varieties, we determine the singular loci; and for one class, we also determine explicitly the tangent ...
Jochen Kuttler, Venkatramani Lakshmibai
doaj   +7 more sources

Schubert Calculus according to Schubert

open access: yes, 2006
We try to understand and justify Schubert Calculus the way Schubert did it.
Ronga, Felice
openaire   +4 more sources

Monodromy and K-theory of Schubert curves via generalized jeu de taquin [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
We establish a combinatorial connection between the real geometry and the K-theory of complex Schubert curves Spλ‚q, which are one-dimensional Schubert problems defined with respect to flags osculating the rational normal curve.
Maria Monks Gillespie, Jake Levinson
doaj   +1 more source

Staircase diagrams and the enumeration of smooth Schubert varieties [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
In this extended abstract, we give a complete description and enumeration of smooth and rationally smooth Schubert varieties in finite type. In particular, we show that rationally smooth Schubert varieties are in bijection with a new combinatorial data ...
Edward Richmond, William Slofstra
doaj   +1 more source

Canto degli spiriti sopra le acque

open access: yesMusica Docta, 2020
The article examines the different versions of Schubert's Choral Lied on a text by Goethe Gesang der Geister über den Wassern, focusing mainly on the final version for male octet and string ensemble. The investigation starts with a semantic-morphological
Alberto Rizzuti
doaj   +1 more source

Order recognition by Schubert polynomials generated by optical near-field statistics via nanometre-scale photochromism

open access: yesScientific Reports, 2022
Irregular spatial distribution of photon transmission through a photochromic crystal photoisomerized by a local optical near-field excitation was previously reported, which manifested complex branching processes via the interplay of material deformation ...
Kazuharu Uchiyama   +8 more
doaj   +1 more source

Rational smoothness and affine Schubert varieties of type A [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
The study of Schubert varieties in G/B has led to numerous advances in algebraic combinatorics and algebraic geometry. These varieties are indexed by elements of the corresponding Weyl group, an affine Weyl group, or one of their parabolic quotients ...
Sara Billey, Andrew Crites
doaj   +1 more source

Gelfand-Zetlin polytopes and flag varieties [PDF]

open access: yes, 2009
I construct a correspondence between the Schubert cycles on the variety of complete flags in C^n and some faces of the Gelfand-Zetlin polytope associated with the irreducible representation of SL_n(C) with a strictly dominant highest weight.
Kiritchenko, Valentina
core   +2 more sources

Double Schubert polynomials for the classical Lie groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
For each infinite series of the classical Lie groups of type $B$, $C$ or $D$, we introduce a family of polynomials parametrized by the elements of the corresponding Weyl group of infinite rank.
Takeshi Ikeda   +2 more
doaj   +1 more source

Schubert functors and Schubert polynomials

open access: yesEuropean Journal of Combinatorics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kraśkiewicz, Witold, Pragacz, Piotr
openaire   +2 more sources

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