3 papers
math.NT2024
Ordinary primes in Hilbert modular varieties
Junecue Suh
A well-known conjecture, often attributed to Serre, asserts that any motive over any number field has infinitely many ordinary reductions (in the sense that the Newton polygon coin…
math.AG2024
Symmetry and parity in Frobenius action on cohomology
Junecue Suh
We prove that the Newton polygons of Frobenius on the crystalline cohomology of proper smooth varieties satisfy a symmetry that results, in the case of projective smooth varieties,…
math.AG2020
Some refinements of the Deligne-Illusie theorem
Piotr Achinger, Junecue Suh
We extend the results of Deligne and Illusie on liftings modulo and decompositions of the de Rham complex in several ways. We show that for a smooth scheme over a perfect…