A computation of tight closure in diagonal hypersurfaces

DOI10.1006/jabr.1997.7350zbMath0947.13003arXivmath/0209239OpenAlexW2064026117MaRDI QIDQ1266468

Anurag K. Singh

Publication date: 17 April 2000

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

Full work available at URL: https://arxiv.org/abs/math/0209239

zbMATH Keywords

tight closurediagonal hypersurfaces

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) Hypersurfaces and algebraic geometry (14J70)

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Rank-2 syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions ⋮ Tight closure and projective bundles. ⋮ A linear bound for Frobenius powers and an inclusion bound for tight closure ⋮ Computing the tight closure in dimension two ⋮ Tight Closure and Plus Closure for Cones Over Elliptic Curves ⋮ Triangular powers of integers from determinants of binomial coefficient matrices

Cites Work

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• The purity of the Frobenius and local cohomology
• Tight closure of parameter ideals
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Tight closure, plus closure and Frobenius closure in cubical cones