3 papers
math.AG2019
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…
math.NT2006
Divisibility of function field class numbers
Jeff Achter
Withdrawn; results will appear elsewhere.
math.NT2001
Notes on an analogue of the Fontaine-Mazur conjecture
Jeffrey D. Achter, Joshua Holden
We estimate the proportion of function fields satisfying certain conditions which imply a function-field analogue of the Fontaine-Mazur conjecture. As a byproduct, we compute the f…