The blowup closure of a set of ideals with applications to \(TI\) closure.

DOI10.1006/jabr.2001.9087zbMath1048.13003OpenAlexW1997837680MaRDI QIDQ1599595

Sara Faridi

Publication date: 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.9087

zbMATH Keywords

characteristic \(p\)tight closuretest elementsblowup closuretight integral closure

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Cites Work

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• Certain graded algebras are always Cohen-Macaulay
• The tight integral closure of a set of ideals
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• F-Regularity, Test Elements, and Smooth Base Change
• Tight closure commutes with localization in binomial rings
• Normal ideals of graded rings
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
• Localization and test exponents for tight closure

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