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Bertini theorems for Hilbert-Samuel multiplicity over finite fields

math.AG · 2026-06-08 · unverdicted · novelty 6.0

Proves existence of positive-density hypersurfaces over finite fields intersecting a reduced equidimensional quasiprojective scheme X such that multiplicity e_P is preserved at all closed points P of the intersection.

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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  • Modular variants of p-adic fundamental sequence math.NT · 2026-06-10 · unverdicted · none · ref 57

    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).