3 papers
math.AG2021
Locally free twisted sheaves of infinite rank
Aise Johan de Jong, Max Lieblich, Minseon Shin
We study twisted vector bundles of infinite rank on gerbes, giving a new spin on Grothendieck's famous problem on the equality of the Brauer group and cohomological Brauer group. W…
math.AG2013
Lefschetz for local Picard groups
Bhargav Bhatt, Aise Johan de Jong
We prove a strengthening of the Grothendieck-Lefschetz hyperplane theorem for local Picard groups conjectured by Kollár. Our approach, which relies on acyclicity results for absolu…
math.AG2012
Genus one curves and Brauer-Severi varieties
Aise Johan de Jong, Wei Ho
Let K be a field. Let A be a central simple algebra over K and let X be the associated Brauer-Severi variety over K. It has recently been asked if there exists a genus 1 curve C ov…