2 citations · 4 across the 7 of their papers we have counts for
15 papers
On the K-theory of -- announcement
Benjamin Antieau, Achim Krause, Thomas Nikolaus
We announce new methods for using prismatic cohomology to compute the K-groups of and related rings. We use computer algebra methods to compute these K-groups thro…
The K-theory of perfectoid rings
Benjamin Antieau, Akhil Mathew, Matthew Morrow
We establish various properties of the p-adic algebraic K-theory of smooth algebras over perfectoid rings living over perfectoid valuation rings. In particular, the p-adic K-theory…
Explicit descent on elliptic curves and splitting Brauer classes
Benjamin Antieau, Asher Auel
We prove new results on splitting Brauer classes by genus 1 curves, settling in particular the case of degree 7 classes over global fields. Though our method is cohomological in na…
The topological period-index conjecture
Benjamin Antieau, Ben Williams
We prove the topological analogue of the period-index conjecture in each dimension away from a small set of primes.
Valuation rings are derived splinters
Benjamin Antieau, Rankeya Datta
We give three proofs that valuation rings are derived splinters: a geometric proof using the absolute integral closure, a homological proof which reduces the problem to checking th…
Descent for semiorthogonal decompositions
Benjamin Antieau, Elden Elmanto
We prove descent theorems for semiorthogonal decompositions using techniques from derived algebraic geometry. Our methods allow us to capture more general filtrations of derived ca…