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Tight closure and projective bundles

✍ Scribed by Holger Brenner

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 315 KB
Volume: 265
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00222-9

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✦ Synopsis

We formulate problems of tight closure theory in terms of projective bundles and subbundles. This provides a geometric interpretation of such problems and allows us to apply intersection theory to them. This yields new results concerning the tight closure of a primary ideal in a two-dimensional graded domain.

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