Objetivo Gabber recently proved a weak local uniformization theorem that states that forany quasi-excellent integral scheme X with a valuation v there exists an alterationY->X (i.e. a proper generically finite morphism between integral schemes) suchthat v lifts to a valuation on Y with a regular center. Moreover, one can achieve thatthe degree of the field extension k(Y)/k(X) is coprime with a fixed prime number linvertible on X. My recent inseparable local uniformization theorem refines thiswhen X is a variety. In this case, it suffices to consider alterations with a purelyinseparable extension k(Y)/k(X). The main aim of this project is to develop in thecontext of general quasi-excellent schemes (including the mixed characteristiccase) the technique that was used to prove the inseparable local uniformizationtheorem. In particular, this should lead to the following strengthening ofGabber's theorem: it suffices to consider only alterations Y->X such that k(Y)is generated over k(X) by (p_i)^n-th roots where each p_i is a prime numbernot invertible on X. Ámbito científico natural sciencesmathematicspure mathematicsarithmeticsprime numbers Programa(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Tema(s) FP7-PEOPLE-2009-RG - Marie Curie Action: "Reintegration Grants" Convocatoria de propuestas FP7-PEOPLE-2010-RG Consulte otros proyectos de esta convocatoria Régimen de financiación MC-IRG - International Re-integration Grants (IRG) Coordinador THE HEBREW UNIVERSITY OF JERUSALEM Aportación de la UE € 100 000,00 Dirección EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Israel Ver en el mapa Tipo de actividad Higher or Secondary Education Establishments Contacto administrativo Hani Ben Yehuda (Ms.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos