Kyle Davis

Integral cubic torsion and Frobenius in genus two

Let \(T\) be a symplectic \(\mathbf Z_2\)-lattice of rank four and let \(L\) be its closed-surface cubic Lie quotient. For a nondegenerate symmetric monodromy pairing \(B\), we compute the two-torsion in \(\operatorname{coker}(\rho_3(\tau_B)-1)\) and its normaliser action. For pr...