  We improve a previous theory of doped Mott insulators with duality between
pairing and magnetism by a further duality transform. As the result we obtained
a quantum Ginzburg-Landau theory describing the Cooper pair condensate and the
dual of spin condensate. We address the superconductivity by doping a Mott
insulator, which we call Mott superconductivity. Some fingerprints of such
novelty in cuprates are the scaling between neutron resonance energy and
superfluid density, and the induced {\it quantized} spin moment by vortices or
Zn impurity (together with circulating charge supper-current to be checked by
experiments).
