Fetching the paper…
Reading the bibliography…
A solution is given to the following problem: how to compute the multiplicity, or more generally the Hilbert function, at a point on a Schubert variety in an orthogonal Grassmannian.
C. S. Seshadri, Geometry of G / P G/P . I. Theory of standard monomials for minuscule representations
1978
Earlier work this paper cites.
V. Lakshmibai and C. S. Seshadri, Geometry of G / P G/P . V
1986
Earlier work this paper cites.
V. Lakshmibai and J. Weyman, Multiplicities of points on a Schubert variety in a minuscule G / P G/P
1990
Earlier work this paper cites.
J. Herzog and N. V. Trung, Gröbner bases and multiplicity of determinantal and Pfaffian ideals
1992
Earlier work this paper cites.
P. Littelmann, Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras
1998
Earlier work this paper cites.
M. Brion and P. Polo, Generic singularities of certain Schubert varieties
1999
Cited alongside, same era.
E. De Negri, Some results on Hilbert series and a a -invariant of Pfaffian ideals
2001
Cited alongside, same era.
V. Kodiyalam and K. N. Raghavan, Hilbert functions of points on Schubert varieties in Grassmannians
2003
Cited alongside, same era.
V. Kreiman, Monomial bases and applications for Schubert and Richardson varieties in ordinary and affine Grassmannians
2003
Cited alongside, same era.
S. R. Ghorpade and C. Krattenthaler, The Hilbert series of Pfaffian rings
2004
Cited alongside, same era.
T. Ikeda and H. Naruse, Excited Young diagrams and equivariant Schubert calculus
Cited in the paper.
K. N. Raghavan and S. Upadhyay, Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians
Cited in the paper.
V. Kreiman and V. Lakshmibai, Multiplicities of singular points in Schubert varieties of Grassmannians
2004
Later among the works it cites.
V. Kreiman and V. Lakshmibai, Richardson varieties in the Grassmannian
2004
Later among the works it cites.
C. Krattenthaler, On multiplicities of points on Schubert varieties in Grassmannians. II
2005
Later among the works it cites.
V. Kreiman, Local Properties of Richardson Varieties in the Grassmannian via a Bounded Robinson-Schensted-Knuth Correspondence
2005
Later among the works it cites.
S. R. Ghorpade and K. N. Raghavan, Hilbert functions of points on Schubert varieties in the Symplectic Grassmannian
2006
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…