Abstract
A strictification result is proved for isotropic distributions on dg schemes equipped with −2-shifted homotopically closed 2-forms. Then it is shown that any dg scheme over C equipped with a −2-shifted symplectic structure, when considered as a dg C∞-manifold, admits a globally defined derived foliation that is Lagrangian with respect to the imaginary and negative definite with respect to the real parts of the −2-shifted symplectic structure.
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