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math.NT2022
Dimensions of paramodular forms and compact twist modular forms with involutions
Tomoyoshi Ibukiyama
We give an explicit dimension formula for paramodular forms of degree two of prime level with plus or minus sign of the Atkin--Lehner involution of weight $\det^k\operatorname{Sym}…
math.AG2022
Differentiating Siegel modular forms, and the moving slope of
Samuel Grushevsky, Tomoyoshi Ibukiyama, Gabriele Mondello +1
We study the cone of moving divisors on the moduli space of principally polarized abelian varieties. Partly motivated by the generalized Rankin-Cohen bracket, we c…
math.NT2022
When is a polarised abelian variety determined by its -divisible group?
Tomoyoshi Ibukiyama, Valentijn Karemaker, Chia-Fu Yu
We study the Siegel modular variety of genus and its supersingular locus . As our main result we determine precis…