2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65041We 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.28 pages, to appear in Journal of AlgebraCommutative AlgebraAlgebraic Geometry14H60; 14J26; 13A35text