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Vector Bundles on Perfectoid Spaces

Posted on:2017-03-12Degree:Ph.DType:Dissertation
University:University of California, San DiegoCandidate:Das, ShaunakFull Text:PDF
GTID:1450390008952804Subject:Mathematics
Abstract/Summary:PDF Full Text Request
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.
Keywords/Search Tags:Corresponding, Characteristic
PDF Full Text Request
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