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math.AG2018
The Brauer group of the universal moduli space of vector bundles over smooth curves
Roberto Fringuelli, Roberto Pirisi
We compute the Brauer group of the universal moduli stack of vector bundles on (possibly marked) smooth curves of genus at least three over the complex numbers. As consequence, we…
math.AG2018
Gabriel's theorem and birational geometry
John Calabrese, Roberto Pirisi
Extending work of Meinhardt and Partsch, we prove that two varieties are isomorphic in codimension c if and only if certain quotients of their categories of coherent sheaves are eq…