Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102228We give a theorem on the effective non-vanishing problem for algebraic surfaces in positive characteristic. For the Kawamata-Viehweg vanishing, the logarithmic Kollar vanishing and the logarithmic semipositivity, we give their counterexamples on ruled surfaces in positive characteristic.17 pagesAlgebraic Geometry14J26; 14E30Effective Non-vanishing for Algebraic Surfaces in Positive Characteristictext