Tight closure and projective bundles

Details Tight closure and projective bundles Tight closure and projective bundles

2002-09-23

arxiv.org/abs/math/0209300v1

J. Algebra 265 (2003), 45-78.

Mathematics

Commutative Algebra

28 pages, to appear in Journal of Algebra

Scientific paper

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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