On the Canonical Element Conjecture

DOI10.2307/2000525zbMath0611.13011OpenAlexW4230587073MaRDI QIDQ3751689

Sankar P. Dutta

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000525

zbMATH Keywords

canonical element conjectureimproved new intersection theorem

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local rings and semilocal rings (13H99)

Related Items

Maximal Cohen-Macaulay Complexes and Their Uses: A Partial Survey ⋮ Intersection multiplicity, canonical element conjecture and the syzygy problem ⋮ Openness of the F-rational locus and smooth base change ⋮ Local cohomology with support in a parameter ideal ⋮ The direct factor conjecture ⋮ Quasilength, latent regular sequences, and content of local cohomology ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ Ext and Frobenius ⋮ The monomial conjecture and order ideals ⋮ Syzygy theorems via comparison of order ideals on a hypersurface ⋮ Generalized local cohomology and the canonical element conjecture ⋮ Free summands of syzygies of modules over local rings ⋮ Splitting of local cohomology of syzygies of the residue field ⋮ A Note on the Monomial Conjecture ⋮ Big Cohen-Macaulay algebras in dimension three via Heitmann's theorem. ⋮ Tight closure and elements of small order in integral extensions ⋮ The monomial conjecture and order ideals. II

Cites Work

• Canonical elements in local cohomology modules and the direct summand conjecture