3 papers
math.AG2026
Prismatic cohomology relative to -rings
Benjamin Antieau, Achim Krause, Thomas Nikolaus
We develop prismatic and syntomic cohomology relative to a -ring. This simultaneously generalizes Bhatt and Scholze's absolute and relative prismatic cohomology and shows that…
math.NT2026
The de Rham and the syntomic logarithm
Matthias Flach, Achim Krause, Baptiste Morin
We define and study an integral refinement of the inverse of the Bloch-Kato exponential map which we call the de Rham logarithm. Our main tool to analyze the de Rham logarithm is t…
math.KT2024
Exact bounds for even vanishing of
Achim Krause, Andrew Senger
In this note, we prove that if and only if divides and , refining the even vanishing theorem of Antieau, Nik…