 The "holomorphic tangent bundle" of formula_4 consists of all linear combinations of the vectors

The distribution "L" on "M" consists of all combinations of these vectors which are "tangent" to "M".The tangent vectors must annihilate the defining equation for "M", so "L" consists of complex scalar multiples of

In particular, "L" consists of the holomorphic vector fields which annihilate "F".Note that "L" gives a CR structure on "M", for ["L","L"] = 0 (since "L" is one-dimensional) and formula_3 since ∂/∂"z" and ∂/∂"w" are linearly independent of their complex conjugates.