Coherent cohomology on Schubert subschemes of flag schemes and applications

DOI10.1016/0001-8708(74)90039-5zbMath0308.14008OpenAlexW2037735819MaRDI QIDQ1218478

Torgny Svanes

Publication date: 1974

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(74)90039-5

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items

Ideals of adjacent minors, Deformations of cones of primitive vectors, Ideals generated by principal minors, Principal minor ideals and rank restrictions on their vanishing sets, When is a Schubert variety Gorenstein?, Loop models and \(K\)-theory, A minimal free complex associated to the minors of a matrix, Blow-up of Straightening-Closed Ideals in Ordinal Hodge Algebras, Secant varieties of toric varieties arising from simplicial complexes, Bemerkungen über normale Flachheit und normale Torsionsfreiheit und Anwendungen, When are the natural embeddings of classical invariant rings pure?, Unnamed Item, Generating a residual intersection, Resolutions of determinantal ideals: \(n\)-minors of \((n+2)\)-square matrices, On the almost Gorenstein property of determinantal rings, Some applications of the Frobenius in characteristic 0, Some criteria for rigidity of Noetherian rings, Hilbert functions of graded algebras, Syzygies des variétés déterminantales, Invariant Hilbert schemes and desingularizations of quotients by classical groups, Singular loci of ladder determinantal varieties and Schubert varieties, Multiplicity on a Richardson variety in a cominuscule $G/P$, Mixed ladder determinantal varieties, Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Generic determinantal singularities: homological properties of the module of derivations, Multiplicities of points on a Schubert variety in a minuscule G/P, Hyperplane sections of Grassmannians and the number of MDS linear codes, Some results on the variety of complexes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Faisceaux algébriques cohérents
• Homogeneous vector bundles
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Une démonstration algébrique d'un théorème de Bott
• Geometry on Grassmannians and applications to splitting bundles and smoothing cycles
• Introduction to Grothendieck duality theory
• The arithmetic Cohen-Macaulay character of Schubert schemes
• Grassmannians and their Schubert subvarieties are arithmetically Cohen- Macaulay
• Arithmetic Normality for Projective Embeddings of Flag Manifolds.
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• ON THE ARITHMETIC NORMALITY OF THE GRASSMANN VARIETY