Duality in N = 1, D = 10 superspace and supergravity with tree level superstring corrections

The equivalence of usual (with the 3-form graviphoton field) and dual (with the 7-form graviphoton field) formulation of N = 1, D = 10 supergravity is established on the mass shell with taking into account high order derivative terms which are necessary for cancellation of anomalies. The bosonic part of the dual supergravity Lagrangian with the Green-Schwarz anomaly compensating term and all other terms connected by the supersymmetry is obtained explicitely for the first time.