Cel 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. Dziedzina nauki natural sciencesmathematicspure mathematicsarithmeticsprime numbers Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) FP7-PEOPLE-2009-RG - Marie Curie Action: "Reintegration Grants" Zaproszenie do składania wniosków FP7-PEOPLE-2010-RG Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-IRG - International Re-integration Grants (IRG) Koordynator THE HEBREW UNIVERSITY OF JERUSALEM Wkład UE € 100 000,00 Adres EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Izrael Zobacz na mapie Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Hani Ben Yehuda (Ms.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych