Resolution of singularities by p-alterations

Mardi 6 octobre 2015 14:15-15:15 - Michael Temkin - Einstein Institute of Mathematics

Résumé : De Jong proved that any variety X can be desingularized by an alteration f:Y→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 will 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.

Lieu : Bât. 425, salle 117-119

Resolution of singularities by p-alterations  Version PDF