Any order over a reduced separated finite type scheme over a char 0 field can be resolved by an Azumaya algebra over a smooth DM stack via a sequence of stacky blow-ups.
Generators and representability of functors in commutative and noncommutative geometry
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Any Farey triangle corresponds to a variant of the Colmez-Fontaine fundamental lemma, with the original lemma matching the triangle (1/0, 1/1, 0/1).
Establishes descent for ⊗-localizing subcategories along smooth presentations and classifies them for quasi-coherent derived categories on algebraic stacks via subsets of the topology.
citing papers explorer
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The Azumification of orders
Any order over a reduced separated finite type scheme over a char 0 field can be resolved by an Azumaya algebra over a smooth DM stack via a sequence of stacky blow-ups.
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Localizing subcategories for algebraic stacks
Establishes descent for ⊗-localizing subcategories along smooth presentations and classifies them for quasi-coherent derived categories on algebraic stacks via subsets of the topology.