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Congruences of first syntomic cohomology groups

math.NT · 2026-05-11 · unverdicted · novelty 7.0

For large n, mod p^n reductions of first syntomic cohomology groups of reflexive F-gauges on O_K are isomorphic iff mod p^{2n} reductions of attached Breuil-Kisin modules with G_K-action and Nygaard filtration are isomorphic.

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  • Congruences of first syntomic cohomology groups math.NT · 2026-05-11 · unverdicted · none · ref 2

    For large n, mod p^n reductions of first syntomic cohomology groups of reflexive F-gauges on O_K are isomorphic iff mod p^{2n} reductions of attached Breuil-Kisin modules with G_K-action and Nygaard filtration are isomorphic.