|Institution:||University of California – San Diego|
|Keywords:||Mathematics; Perfectoid spaces|
|Full text PDF:||http://www.escholarship.org/uc/item/3zh7f6r1|
We explicitly compute the Picard groups of the projectivoid line and its corresponding characteristic p tilt. The desire to generalize this to higher-dimensional projectivoid spaces, as well as other perfectoid spaces, leads us to ask whether a GAGA principle holds between perfections of analytifiable schemes in characteristic p, and corresponding completed perfections of their adic analytifications.