3 problems

Virtual modularity conjecture for higher-codimension elliptic-factor cycles
Virtual modularity conjecture. The series $\Theta^{2,\mathrm{vir}}_{\mathcal A_n}$ is a holomorphic Siegel modular form of weight $2n$ for $\operatorname{Sp}_4(\mathbb Z)$ , valued…
openchow-groups modularity siegel-modular-varieties
0 responses
09
Greer–Lian's modularity conjecture for special cycles on Siegel modular varieties
Greer–Lian's modularity conjecture. The series $\Theta_{\mathcal A_n}(q)$ is a holomorphic modular form of weight $2n$ for $\operatorname{SL}_2(\mathbb Z)$ , valued in…
openmodularity siegel-modular-varieties special-cycles
0 responses
08
The equivalent modularity criteria for simple abelian varieties
Equivalent modularity criteria. The following statements are equivalent:
openabelian-varieties modularity siegel-modular-varieties
0 responses
06

Virtual modularity conjecture for higher-codimension elliptic-factor cycles