Singular loci of ladder determinantal varieties and Schubert varieties
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Publication:1579150
DOI10.1006/jabr.1999.8087zbMath1001.14019OpenAlexW2003770660MaRDI QIDQ1579150
Gonciulea, Nicolae, Venkatramani Lakshmibai
Publication date: 3 February 2002
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/0ea19abf4a2bd21a4f96e3b5adf42ecc0ccbc054
Singularities in algebraic geometry (14B05) Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15)
Related Items (6)
The first syzygy of Hibi rings associated with planar distributive lattices ⋮ Schubert varieties, toric varieties and ladder determinantal varieties ⋮ On the \(F\)-rationality and cohomological properties of matrix Schubert varieties ⋮ Mixed ladder determinantal varieties ⋮ Grothendieck classes of quiver varieties. ⋮ Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties
Cites Work
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- Determinantal loci and the flag variety
- Criterion for smoothness of Schubert varieties in Sl(n)/B
- Schubert varieties are arithmetically Cohen-Macaulay
- Projective normality of flag varieties and Schubert varieties
- Multiplicities of points on a Schubert variety in a minuscule G/P
- The irreducibility of ladder determinantal varieties
- Equations defining Schubert varieties and Frobenius splitting of diagonals
- Determinantal rings
- Gröbner bases and multiplicity of determinantal and Pfaffian ideals
- Coherent cohomology on Schubert subschemes of flag schemes and applications
- Ladder determinantal rings have rational singularities
- Multi-cones over Schubert varieties
- Singularities of certain ladder determinantal varieties
- Normality of ladder determinantal rings
- Cohomology of line bundles on $G/B$
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