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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.

On the category of semi-graded modules

math.CT · 2026-05-25 · unverdicted · novelty 5.0

SGR-R possesses a canonical set of free generators via shifted twists, endowing it with a Grothendieck structure and enough injectives and projectives, plus a semi-graded Baer's criterion analogue.

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Showing 2 of 2 citing papers.

  • The Azumification of orders math.AG · 2026-06-03 · unverdicted · none · ref 85

    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.

  • On the category of semi-graded modules math.CT · 2026-05-25 · unverdicted · none · ref 33

    SGR-R possesses a canonical set of free generators via shifted twists, endowing it with a Grothendieck structure and enough injectives and projectives, plus a semi-graded Baer's criterion analogue.