On the <i>u</i><sup>∞</sup>-torsion submodule of prismatic cohomology

نویسندگان

چکیده

We investigate the maximal finite length submodule of Breuil–Kisin prismatic cohomology a smooth proper formal scheme over $p$ -adic ring integers. This governs pathology phenomena in integral theories. Geometric applications include control, low degrees and mild ramifications, (1) discrepancy between two naturally associated Albanese varieties characteristic , (2) kernel specialization map étale cohomology. As an arithmetic application, we study boundary case theory due to Fontaine Laffaille, Messing, Kato. Also included is interesting example, generalized from construction Bhatt, Morrow Scholze's work, which illustrates some our theoretical results being sharp, negates question Breuil.

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ژورنال

عنوان ژورنال: Compositio Mathematica

سال: 2023

ISSN: ['0010-437X', '1570-5846']

DOI: https://doi.org/10.1112/s0010437x23007261