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math.NT2025
Symplectic Eichler criterion
Shouhei Ma
We prove an Eichler-type criterion for symplectic lattices which determines in a simple way when two primitive vectors are equivalent under a canonical congruence subgroup of the s…
math.AG2025
Siegel modular forms arising from higher Chow cycles
Shouhei Ma
We prove that the infinitesimal invariant of a higher Chow cycle of type (2,3-g) on a generic abelian variety of dimension g<4 gives rise to a meromorphic Siegel modular form of (v…