3 papers
math.AG2025
Log -divisible groups associated with semi-abelian degeneration
Kentaro Inoue
In this paper, we prove that, when an abelian scheme has semi-abelian degeneration along normal crossings divisor in a regular base scheme, a finite flat group scheme of torsion po…
math.AG2025
Log prismatic -crystals and realization functors
Kentaro Inoue
Log prismatic cohomology theory developed by Koshikawa-Yao involves coefficient objects, called log prismatic -crystals. In this paper, we construct and study realization functo…
math.AG2025
Log Prismatic Dieudonné theory and its application to Shimura varieties
Kentaro Inoue
We study the log version of the prismatic Dieudonné theory established by Anschütz-Le Bras. By applying this result to the integral toroidal compactification of a Shimura variety…