Hamiltonian structure of the complex Monge-Ampère equation

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We discover Hamiltonian structure of the complex Monge-Amp`ere equation when written in a first order two-component form. We present Lagrangian and Hamiltonian functions, a symplectic form and the Hamiltonian operator that determines the Poisson bracket.
5 pages. Misprints in the formula (3.6) are corrected

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