For regular Noetherian schemes, the cohomological Brauer group is insensitive to removing a closed subscheme of codimension \ge 2. I will discuss the corresponding statement for schemes with local complete intersection singularities, for instance, for complete intersections in projective space. Such purity phenomena turn out to be low cohomological degree cases of purity for flat cohomology. I will discuss the latter from the point of view of the perfectoid approach to such questions. The talk is based on joint work with Peter Scholze.
Freitag, den 14. Juni 2019 um 13:30 Uhr, in INF 205, SR A Freitag, den 14. Juni 2019 at 13:30, in INF 205, SR A
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. Judith Ludwig