Ladder determinantal rings have rational singularities

DOI10.1006/aima.1997.1679zbMath0908.13005OpenAlexW3023666794WikidataQ101095915 ScholiaQ101095915MaRDI QIDQ1378457

Aldo Conca, Jürgen Herzog

Publication date: 18 March 1998

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

Full work available at URL: https://doi.org/10.1006/aima.1997.1679

zbMATH Keywords

positive characteristicrational singularitiesladder determinantal ring\(F\)-rationality

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (18)

Indispensable Hibi Relations and Gröbner Bases ⋮ Regularity and the Gorenstein property of \(L\)-convex polyominoes ⋮ Computation of the a-invariant of ladder determinantal rings ⋮ Diagonal degenerations of matrix Schubert varieties ⋮ Differential operators, retracts, and toric face rings ⋮ Shellable simplicial complex and switching rook polynomial of frame polyominoes ⋮ Singularities and radical initial ideals ⋮ Strong \(F\)-regularity and generating morphisms of local cohomology modules ⋮ Tight closure ⋮ On the \(F\)-rationality and cohomological properties of matrix Schubert varieties ⋮ Finite lattices and lexicographic Gröbner bases ⋮ \(M\)-sequences, graph ideals, and ladder ideals of linear type ⋮ Singular loci of ladder determinantal varieties and Schubert varieties ⋮ Mixed ladder determinantal varieties ⋮ On Gröbner basis and Cohen-Macaulay property of closed path polyominoes ⋮ Primality of weakly connected collections of cells and weakly closed path polyominoes ⋮ Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties ⋮ Primality of closed path polyominoes

Cites Work

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• Test Ideals in Local Rings
• Combinatorics and commutative algebra

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