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math.AG2022★ 7 cited
Projectivity of the moduli space of vector bundles on a curve
Jarod Alper, Pieter Belmans, Daniel Bragg +2
We discuss the projectivity of the moduli space of semistable vector bundles on a curve of genus . This is a classical result from the 1960s, obtained using geometric inva…
math.AG2022
Artin algebraization for pairs with applications to the local structure of stacks and Ferrand pushouts
Jarod Alper, Daniel Halpern-Leistner, Jack Hall +1
We give a variant of Artin algebraization along closed subschemes and closed substacks. Our main application is the existence of étale, smooth, or syntomic neighborhoods of closed…