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The Azumification of orders

math.AG · 2026-06-03 · unverdicted · novelty 6.0

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.

Silting t-structures in $Q$-shaped derived categories

math.RT · 2026-06-18 · unverdicted · novelty 5.0

Constructs silting t-structures in the Q-shaped derived category from admissible partitions of Q, with explicit cotorsion pairs, homological descriptions, and examples of when none exist.

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  • The Azumification of orders math.AG · 2026-06-03 · unverdicted · none · ref 66

    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.

  • Silting t-structures in $Q$-shaped derived categories math.RT · 2026-06-18 · unverdicted · none · ref 56

    Constructs silting t-structures in the Q-shaped derived category from admissible partitions of Q, with explicit cotorsion pairs, homological descriptions, and examples of when none exist.