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math.AG2019★ 2 cited
A functorial approach to regular homomorphisms
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
Classically, regular homomorphisms have been defined as a replacement for Abel--Jacobi maps for smooth varieties over an algebraically closed field. In this work, we interpret regu…
math.AG2019★ 4 cited
Arithmetic occult period maps
Jeff Achter
Several natural complex configuration spaces admit surprising uniformizations as arithmetic ball quotients, by identifying each parametrized object with the periods of some auxilia…