2 citations · 4 across the 11 of their papers we have counts for
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Splitting Brauer classes by genus one curves over number fields
Benjamin Antieau, Asher Auel, Federico Scavia
We prove that every Severi-Brauer variety of dimension at least two over a number field contains a twisted elliptic normal curve. Consequently, every Brauer class over a number fie…
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…
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…
Counterexamples to Hochschild--Kostant--Rosenberg in characteristic
Benjamin Antieau, Bhargav Bhatt, Akhil Mathew
We give counterexamples to the degeneration of the HKR spectral sequence in characteristic , both in the untwisted and twisted settings. We also prove that the de Rham--$\mathrm…
Derived invariants from topological Hochschild homology
Benjamin Antieau, Daniel Bragg
We consider derived invariants of varieties in positive characteristic arising from topological Hochschild homology. Using theory developed by Ekedahl and Illusie-Raynaud in their…