We study reduction of Dirac structures as developed by H. Bursztyn et al. from the point of view of pure spinors. We describe explicitly the pure spinor line bundle of the reduced Dirac structure. We also obtain results on reduction of generalized Calabi-Yau structures.
"Generalized reduction and pure spinors." J. Symplectic Geom. 12 (3) 435 - 471, September 2014.