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math.AG2024
Elliptic curves and their principal homogeneous spaces: splitting Severi--Brauer varieties
Eoin Mackall, Nick Rekuski
We consider the question: which elliptic curves appear as the Jacobian of a smooth curve of genus one splitting a Severi--Brauer variety? We provide three new examples. First, we s…
math.AG2023
Pro-representability of -cohomology in weight 3 generalizing a result of Bloch
Eoin Mackall
We generalize a result, on the pro-representability of Milnor -cohomology groups at the identity, that's due to Bloch. In particular, we prove, for a smooth, proper, and geo…