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math.NT2024

Galois invariants of finite abelian descent and Brauer sets

Brendan Creutz, Jesse Pajwani, Jose Felipe Voloch

For a variety over a global field, one can consider subsets of the set of adelic points of the variety cut out by finite abelian descent or Brauer-Manin obstructions. Given a Galoi…

math.NT2023

Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic

Jesse Pajwani, Ambrus Pál

For a field, we construct a power structure on the Grothendieck--Witt ring of which has the potential to be compatible with symmetric powers of varieties and the motivic Eu…

math.NT2023

The Valuative Section Conjecture, Étale Homotopy, and Berkovich Spaces

Jesse Pajwani

We reinterpret a result of Pop and Stix on the -adic section conjecture in terms of Berkovich spaces and fixed points. In doing this, we see a version of the result extends to l…