Depths of multiplier ideals and integral closure

DOI10.1090/S0002-9947-08-04617-5zbMath1173.14007OpenAlexW2089792831MaRDI QIDQ3625580

Seunghun Lee

Publication date: 5 May 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04617-5

zbMATH Keywords

depthintegral closureMultiplier idealgeneral hyperplane

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Integral closure of commutative rings and ideals (13B22) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Birational geometry (14E99)

Related Items (2)

Depth and restriction of multiplier ideals ⋮ Depths of multiplier ideals with lengths of constancy zero

Cites Work

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• Local syzygies of multiplier ideals
• The primary components of and integral closures of ideals in 3-dimensional regular local rings
• Filtrations and local syzygies of multiplier ideals
• Rational singularities, with applications to algebraic surfaces and unique factorization
• A generalization of tight closure and multiplier ideals
• An interpretation of multiplier ideals via tight closure

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