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math.NT2025
Semistable abelian varieties over with bad reduction at 19 only: an overview of the Fontaine--Schoof strategy
Francesco Campagna, Pip Goodman
In this paper we provide an overview of a strategy pioneered by Fontaine and heavily refined by Schoof to classify abelian varieties with prescribed bad reduction. Throughout the o…
math.NT2025
Abelian threefolds with imaginary multiplication
Francesc Fité, Pip Goodman
Let be an abelian threefold defined over a number field with potential multiplication by an imaginary quadratic field . Under mild assumptions on , if has signatu…