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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.

Modular variants of p-adic fundamental sequence

math.NT · 2026-06-10 · unverdicted · novelty 5.0

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).

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Showing 2 of 2 citing papers.

  • The Azumification of orders math.AG · 2026-06-03 · unverdicted · none · ref 67

    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.

  • Modular variants of p-adic fundamental sequence math.NT · 2026-06-10 · unverdicted · none · ref 94

    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).