 In general this intersection is of the form

for some subbundle Δ.A point which has an open neighborhood in which the dimension of the fibers of Δ is constant is said to be a regular point.Every regular point in a generalized complex manifold has an open neighborhood which, after a diffeomorphism and shift of the B-field, has the same generalized complex structure as the Cartesian product of the complex vector space formula_64 and the standard symplectic space formula_65 with the standard symplectic form, which is the direct sum of the two by two off-diagonal matrices with entries 1 and −1.