4 papers
Borcherds products approximating Gersten complex
Shouhei Ma
For an orthogonal modular variety, we construct a complex which is defined in terms of lattices and elliptic modular forms, which resembles the Gersten complex in Milnor K-theory,…
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…
Higher Chow cycles on some K3 surfaces with involution
Shouhei Ma, Ken Sato
We construct, for each 2<r<18, an explicit family of higher Chow cycles of type (2,1) on a family of lattice-polarized K3 surfaces of generic Picard rank r, and prove that the inde…
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…