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DTSTART:20151025T010000
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DTSTART;TZID=Europe/Paris:20151001T140000
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SUMMARY:Resolution of singularities by p-alterations
DESCRIPTION:de Jong proved that any variety X can be desingularized by an alteration f:X’–>X\, i.e. a proper surjective generically finite morphism. This was strengthened by Gabber as follows: f can be chosen of degree prime to a fixed prime l invertible on X.In this talk\, I’ll tell about the most recent progress on the subject: if X is of finite type over a quasi-excellent threefold then one can desingularize X by an alteration whose degree is only divisible by primes non-invertible on X. We will also discuss finer results that deal with divisors and desingularize morphisms in the sense of semistable reduction.
URL:https://www.math.ens.psl.eu/evenement/resolution-of-singularities-by-p-alterations/
CATEGORIES:Séminaire de géométrie algébrique
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