
This research paper explores a new version of the Shafarevich conjecture, proving the finiteness of pointed families of polarized varieties with a semi-ample canonical bundle by establishing their rigidity when "enough" fibers are fixed.


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the-shafarevich-conjecture-and-finiteness-of-families-of-polarized-varieties-with-fixed-fibers


The Shafarevich Conjecture and Finiteness of Families of Polarized Varieties with Fixed Fibers


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This research paper introduces new tools for calculating the Brauer group of a tame algebraic stack, arguing that it can be determined by understanding the Brauer group of its coarse space and the Picard groups of its fibers.


computing-the-brauer-group-of-a-tame-algebraic-stack


Computing the Brauer Group of a Tame Algebraic Stack
