Tight closure

Autor(en): Bruns, W 
Stichwörter: BRIANCON-SKODA; Briancon-Skoda theorem; characteristic p methods; COHEN-MACAULAY ALGEBRAS; homological conjectures; IDEALS; invariant theory; LOCAL-RINGS; Mathematics; phantom homology; PHANTOM PROJECTIVE DIMENSION; rational singularities; REDUCTIVE GROUPS; THEOREM; tight closure
Erscheinungsdatum: 1996
Herausgeber: AMER MATHEMATICAL SOC
Journal: BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
Volumen: 33
Ausgabe: 4
Startseite: 447
Seitenende: 457
Zusammenfassung: 
The theory of tight closure was created by Mel Hochster and Craig Huneke about ten years ago. Assisted by numerous contributions of others, they have continuously developed the theory since then. `Tight closure' can now be regarded as a synonym for `characteristic p methods in commutative algebra'. It ties several strands of commutative algebra and algebraic geometry together: invariant theory, rational singularities, the Briancon-Skoda theorem, the `homological conjectures', big Cohen-Macaulay modules and algebras, and various other topics.
ISSN: 02730979
DOI: 10.1090/S0273-0979-96-00691-X

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