The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
Filters
Permutation representations on Schubert varieties
[article]
2007
arXiv
pre-print
Preserved Fulltext
Other Versions
This paper defines and studies permutation representations on the equivariant cohomology of Schubert varieties, as representations both over C and over C[t_1, t_2,...,t_n]. ...
i+1v u ) u∈Sn for the corresponding Schubert classes. Then (1) , . . . , t u(n) ). Corollary 3.4. Let v, s i,i+1 ∈ S n satisfy s i,i+1 v > v. ...
Every Schubert variety is T -equivariant and is equivariantly formal with respect to this action. Proof. Each Schubert variety has a cell decomposition as a union of Schubert cells. ...
arXiv:math/0604578v2
fatcat:ypok3li6kbhlzk2nzqlqzaogl4
Gröbner Bases for Schubert Codes
[article]
2017
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Other Versions
We also use them to study the decoding of binary Schubert codes. ...
In this paper, Gr\"obner bases of linear codes associated to Grassmann varieties and Schubert varieties over a binary field have been obtained. ...
For u, v ∈ F n q , one can easily prove that S(u + v) = S(u) + S(v), and S(u) = 0 ⇔ u ∈ C, S(u) = S(v) ⇔ u and v are in the same coset of C. ...
arXiv:1707.02199v2
fatcat:sn3o22ap55c3xfhwiqx7gexaoq
F. Schubert, Zur Theorie des stationären Verdichtungsstoßes. Z. angew. Math. Mech. Bd. 23 (1943), S. 129 bis 138
1944
Zeitschrift für angewandte Mathematik und Mechanik
Preserved Fulltext
The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
Schubert. 558
H. Karl,‚Biegung gekrümmter, dünnwandiger Rohre. Z. angew. Math. Mech. Bd. 23 (1943), S. 331 bis 345. ...
Schubert genau überein- stimmen. ...
doi:10.1002/zamm.19440240215
fatcat:kww2qxqhgrgtre2o5zhdqbyju4
On the automorphism of a smooth Schubert variety
[article]
2015
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Let w be an element of the Weyl group W and let X(w) be the Schubert variety in G/B corresponding to w. Let α_0 denote the highest root of G with respect to T and B. ...
S. Seshadri, A. J. Parameswaran and D. S. Nagaraj for useful discussions. ...
For w ∈ W , let X(w) := BwB/B denote the Schubert variety in G/B corresponding to w. ...
arXiv:1312.7066v3
fatcat:capme2x4afgl7ilwvt3s6tikcy
Torus Quotients of Schubert Varieties
2020
International Journal of Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:
2021 accepted arXiv:2012.08102v2 fatcat:6d5mbye6dfdbpjmv2eldalhe7iOther Versions
In this paper, we consider the GIT quotients of Schubert varieties for the action of a maximal torus. ...
As a consequence, we study the smoothness of torus quotients of Schubert varieties in the Grassmannian. ...
The partial flag variety G/P ω is called minuscule and the Schubert varieties in G/P ω are called minuscule Schubert varieties. ...
doi:10.1142/s0129167x20501232
fatcat:iojqvsqlnrfk5gfxeik735qtui
Towards Generalizing Schubert Calculus in the Symplectic Category
[article]
2009
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
When they exist, canonical classes form a natural basis of the equivariant cohomology of M; in particular, when M is a flag variety, these classes are the equivariant Schubert classes. ...
The main purpose of this article is to extend some of the ideas from Schubert calculus to the more general setting of Hamiltonian torus actions on compact symplectic manifolds with isolated fixed points ...
In the case that M = G/B, where G is a complex semi-simple Lie group (of any type) and B is a Borel subgroup, the equivariant Schubert classes are canonical classes. ...
arXiv:0904.1245v1
fatcat:zuzqm7cudrcmtbr7ox2e37o73m
Smooth torus quotients of Schubert varieties in the Grassmannian
[article]
2019
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
We study the GIT quotient of Schubert varieties X(w) in the Grassmannian G_r,n, admitting semistable points for the action of T with respect to the T-linearized line bundle L(nω_r). ...
s 4 s 3 s 8 s 7 s 6 s 5 s 4 , the element in W P corresponding to the Schubert variety
3, 5, 6, 7), respectively. ...
Smooth locus of Schubert varieties in G r,n The singular loci of Schubert varieties in miniscule G/P were determined in [11] . ...
arXiv:1912.08618v2
fatcat:5uh64vz53rfbpgklsuca2ga7ni
A family of reductions for Schubert intersection problems
[article]
2009
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
We produce a family of reductions for Schubert intersection problems whose applicability is checked by calculating a linear combination of the dimensions involved. ...
E ′ , I ′ ) ∩ S(F ′ , J ′ ) ∩ S(G ′ , K ′ ) ⊂ S(E, I) ∩ S(F , J) ∩ S(G, K). ...
Assume that we want to solve the Schubert problem associated to a measure m ∈ M r . ...
arXiv:0909.0908v1
fatcat:y63xrpqravcvdhk6zm7fkoqati
Free resolutions of some Schubert singularities
[article]
2015
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Our approach uses the geometry of Schubert varieties. ...
In the first case, Q s = B n , so p makes ZP 1 (w) a vector-bundle on a smooth Schubert subvariety X B 1 (w ′ ) of GL n /B n . ...
#{s α | α ∈ R − \ R − P and τ ≥ s α in W/WP }. (1) (3,1) | O − GL 4 /B = x 31 , p (1) Theorem 3.4. With notation as above, suppose that the Schubert variety XP (w) of GL N /P is smooth. ...
arXiv:1504.04415v1
fatcat:njxpcfnsffdy3ffktqtfraewmy
Maximal singular loci of Schubert varieties in SL(n)/B
[article]
2001
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
We give an explicit combinatorial description of the irreducible components of the singular locus of the Schubert variety X_w for any element w in S_n. ...
In the late 1950's, Chevalley [Che94] showed that all Schubert varieties in G/B are nonsingular in codimension one. ...
of Schubert varieties, the classes of Schubert varieties form a basis for the cohomology ring of G/B and the Schubert varieties correspond to the lower order ideals of a partial order associated to G/ ...
arXiv:math/0102168v1
fatcat:qxwjb2uimnamteplufmecw27ky
Permutation representations on Schubert varieties
2008
American Journal of Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2014; you can also visit the original URL.
The file type is application/pdf.
This paper defines and studies permutation representations on the equivariant cohomology of Schubert varieties, as representations both over C and over C[t 1 , t 2 , . . . , tn]. ...
i+1v u ) u∈Sn for the corresponding Schubert classes. Then (1) , . . . , t u(n) ). Corollary 3.4. Let v, s i,i+1 ∈ S n satisfy s i,i+1 v > v. ...
Every Schubert variety is T -equivariant and is equivariantly formal with respect to this action. Proof. Each Schubert variety has a cell decomposition as a union of Schubert cells. ...
doi:10.1353/ajm.0.0018
fatcat:rtbnnxv37zamjkkpvf363thniq
Torus quotients of Schubert varieties in the Grassmannian G_2,n
[article]
2021
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
In this article, we study the GIT quotients of the Schubert varieties in the Grassmannian G_2,n. ...
Also, we prove that the GIT quotients of the Schubert varieties in G_2,n have at most finite set of singular points. ...
Let w = (s 6 s 5 s 4 s 3 s 2 s 1 )(s 9 s 8 s 7 s 6 s 5 s 4 s 3 s 2 ). In one line notation w = (7, 10). We consider the Schubert variety X(w) in the Grassmannian G 2, 10 . ...
arXiv:2103.12621v1
fatcat:3uku4dhc7jdrhgsf6lieb7hhk4
Book Review: Collected papers of C. S. Seshadri. Volume 1. Vector bundles and invariant theory; Collected papers of C. S. Seshadri. Volume 2. Schubert geometry and representation Theory
2013
Bulletin of the American Mathematical Society
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
S. Narasimhan and C. S. Seshadri The seminal work of M. S. Narasimhan and C. S. Seshadri in the late 1960s began a new era in the theory of vector bundles on a compact Riemann surface X. ...
Consequently, it has several applications in the study of the geometry of the Schubert variety. ...
doi:10.1090/s0273-0979-2013-01429-0
fatcat:d2ux2ajkxndjtfeszoyay5sj6m
An analogue of Bott's theorem for Schubert varieties-related to torus semistable points
[article]
2013
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
Other Versions
We give a necessary and a sufficient condition for a Schubert variety X(τ) for which all the higher cohomologies H^i(X(τ), E) vanish for the restriction E of the tangent bundle of G/B to X(τ). ...
If V ′ is of type (5) , we again use lemma (2.3) to conclude that H 0 (s α , V ′ ) must be of type (2) in H 0 (s α , H 1 (s α τ, V )). ...
If V ′ is of type (5) , we again use lemma (2.3) to conclude that H 0 (s α , V ′ ) must be of type (2) in H 0 (s α , H 1 (s α τ, V )). ...
arXiv:1212.6338v2
fatcat:uzgi2pse3jfyniccmcuxum7ate
Schubert and Salieri
1991
Journal of the Royal Society of Medicine
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Schubert. In The Second Book of the Great Musicians, 6th edn. ...
S T GREEN Mozart's last illness I want to express a word of thanks for Wheater's precise discussion of Mozart's last illness (September 1990 JRSM, p 586) and to make a few observations. ...
doi:10.1177/014107689108400539
pmid:2041027
pmcid:PMC1293253
fatcat:7tfxhmj4uzextkokurcc4hfpyq
« Previous
Showing results 1 — 15 out of 96,273 results