Core versus graded core, and global sections of line bundles

DOI10.1090/S0002-9947-03-03337-3zbMath1089.13004arXivmath/0301190OpenAlexW1818556631MaRDI QIDQ4813800

Eero Hyry, Karen E. Smith

Publication date: 13 August 2004

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

Full work available at URL: https://arxiv.org/abs/math/0301190

zbMATH Keywords

core of an idealadjoint modulegraded reduced Cohen-Macaulay ring

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Local cohomology and algebraic geometry (14B15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

The core of ideals in arbitrary characteristic ⋮ The core of zero-dimensional monomial ideals ⋮ Minimal reductions and cores of edge ideals ⋮ An inclusion result for dagger closure in certain section rings of abelian varieties ⋮ BLOWUPS AND FIBERS OF MORPHISMS ⋮ Computing the core of ideals in arbitrary characteristic ⋮ A Short Note on Containment of Cores ⋮ The cl-core of an ideal ⋮ Globally \(F\)-regular and log Fano varieties ⋮ Log-terminal singularities and vanishing theorems via non-standard tight closure ⋮ Annihilators of graded components of the canonical module, and the core of standard graded algebras ⋮ Symmetry in the core of a zero-dimensional monomial ideal ⋮ Serre's Condition R_ℓfor Affine Semigroup Rings ⋮ A formula for the *-core of an ideal ⋮ Nakayama closures, interior operations, and core-hull duality -- with applications to tight closure theory ⋮ Dagger closure and solid closure in graded dimension two

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