Objectif 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. Champ scientifique natural sciencesmathematicspure mathematicsarithmeticsprime numbers Programme(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) Thème(s) FP7-PEOPLE-2009-RG - Marie Curie Action: "Reintegration Grants" Appel à propositions FP7-PEOPLE-2010-RG Voir d’autres projets de cet appel Régime de financement MC-IRG - International Re-integration Grants (IRG) Coordinateur THE HEBREW UNIVERSITY OF JERUSALEM Contribution de l’UE € 100 000,00 Adresse EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Israël Voir sur la carte Type d’activité Higher or Secondary Education Establishments Contact administratif Hani Ben Yehuda (Ms.) Liens Contacter l’organisation Opens in new window Site web Opens in new window Coût total Aucune donnée