52 citations · 222 across the 40 of their papers we have counts for
4 papers · 1 filter
Maximal orders in unramified central simple algebras
Benjamin Antieau, Kenneth Chan
Using depth of coherent sheaves on noetherian algebraic stacks, we construct non-Azumaya maximal orders in unramified central simple algebras over schemes of dimension at least …
On localization sequences in the algebraic K-theory of ring spectra
Benjamin Antieau, Tobias Barthel, David Gepner
We identify the -theoretic fiber of a localization of ring spectra in terms of the -theory of the endomorphism algebra spectrum of a Koszul-type complex. Using this identific…
Derived categories of torsors for abelian schemes
Benjamin Antieau, Daniel Krashen, Matthew Ward
In the first part of our paper, we show that there exist non-isomorphic derived equivalent genus curves, and correspondingly there exist non-isomorphic moduli spaces of stable…
The prime divisors of the period and index of a Brauer class
Benjamin Antieau, Ben Williams
We show that in locally-ringed connected topoi the primes dividing the period and index of a Brauer class coincide. The result applies in particular to Brauer classes on connected…