2 citations · 5 across the 14 of their papers we have counts for
4 papers · 2 filters
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…
Rational points and derived equivalence
Nicolas Addington, Benjamin Antieau, Sarah Frei +1
We give the first examples of derived equivalences between varieties defined over non-closed fields where one has a rational point and the other does not. We begin with torsors ove…