TIGHT CLOSURE

Authors
BRUNS W
Citation
W. Bruns, TIGHT CLOSURE, Bulletin, new series, of the American Mathematical Society, 33(4), 1996, pp. 447-457
Citations number
39
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin, new series, of the American Mathematical Society → ACNP
ISSN journal
02730979
Volume
33
Issue
4
Year of publication
1996
Pages
447 - 457
Database
ISI
SICI code
0273-0979(1996)33:4<447:TC>2.0.ZU;2-U
Abstract
The theory of tight closure was created by Mel Hochster and Craig Hune ke 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 co mmutative 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.