Singularities of certain ladder determinantal varieties

DOI10.1016/0022-4049(94)00038-KzbMath0842.13008MaRDI QIDQ1898415

Donna Glassbrenner, Karen E. Smith

Publication date: 29 October 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

tight closurerational singularitiescomplete intersection ladder determinantal varieties

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Singularities in algebraic geometry (14B05) Determinantal varieties (14M12) Integral closure of commutative rings and ideals (13B22)

Related Items

Schubert varieties, toric varieties and ladder determinantal varieties, Ladder determinantal rings have rational singularities, Strong \(F\)-regularity and generating morphisms of local cohomology modules, Expected resurgences and symbolic powers of ideals, On the \(F\)-rationality and cohomological properties of matrix Schubert varieties, Singular loci of ladder determinantal varieties and Schubert varieties, Mixed ladder determinantal varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Determinantal loci and the flag variety
• Schubert varieties are arithmetically Cohen-Macaulay
• An algebraist commuting in Berkeley
• The irreducibility of ladder determinantal varieties
• Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
• Gröbner bases and multiplicity of determinantal and Pfaffian ideals
• The purity of the Frobenius and local cohomology
• Ladder determinantal rings
• F-rational rings have rational singularities
• Tight closure and strong F-regularity
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• F-Purity and Rational Singularity
• Tightly closed ideals
• F-Regularity, Test Elements, and Smooth Base Change
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes