scientific article

zbMath0913.13003MaRDI QIDQ3125875

Karen E. Smith, Craig Huneke

Publication date: 14 May 1997

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002214474

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

characteristic \(p\)Kodaira vanishing theoremtight closurelocal cohomologysystem of parameters

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Integral closure of commutative rings and ideals (13B22) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (18)

Local Cohomology—An Invitation ⋮ Syzygies of multiplier ideals on singular varieties ⋮ A New Version of α-Tight Closure ⋮ Core versus graded core, and global sections of line bundles ⋮ Test ideals in diagonal hypersurface rings. II. ⋮ Tight closure and projective bundles. ⋮ Geometric interpretation of tight closure and test ideals ⋮ Tight closure ⋮ Test ideals in diagonal hypersurface rings ⋮ A linear bound for Frobenius powers and an inclusion bound for tight closure ⋮ Computing the tight closure in dimension two ⋮ Behavior of test ideals under smooth and étale homomorphisms. ⋮ Koszul and local cohomology, and a question of Dutta ⋮ Slopes of vector bundles on projective curves and applications to tight closure problems ⋮ Tight closure, plus closure and Frobenius closure in cubical cones ⋮ A Briançon-Skoda theorem for isolated singularities ⋮ Tight closure of powers of parameter ideals in hypersurface rings and their tight Hilbert polynomials ⋮ Test ideals in quotients of $F$-finite regular local rings

This page was built for publication: