14 citations · 24 across the 15 of their papers we have counts for
15 papers
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…
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…
On the -theory of
Benjamin Antieau, Achim Krause, Thomas Nikolaus
We give an explicit algebraic description, based on prismatic cohomology, of the algebraic K-groups of rings of the form where is a p-adic field and is a non-trivia…
Witt vectors with coefficients and TR
Emanuele Dotto, Achim Krause, Thomas Nikolaus +1
We give a new construction of -typical Witt vectors with coefficients in terms of ghost maps and show that this construction is isomorphic to the one defined in terms of formal…
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 t…
A note on quadratic forms
Fabian Hebestreit, Achim Krause, Maxime Ramzi
For a field extension we consider maps that are quadratic over but whose polarisation is only bilinear over . Our main result is that all such are automatically quadra…