Two points of the infinite dimensional complex projective space CP∞ with homogeneous coordinates a = (a0, a1, a2, ) and b = (b0, b1, b2, ), respectively, are conjugate if and only if they are complex orthogonal, i.e., ab = ∞èj=0 ajbj = 0. For a complete ortho-normal system φ(t) = (φ0(t), φ1(t), φ2(t), ) of L2H(D), the space of the holomorphic and absolutely square integrable functions in the bounded domain D of Cn, φ(t), t ∈ D, is considered as the homogeneous coordinate of a point in CP∞. The correspondence t →φ(t) induces a holomorphic imbedding ιφ : D → CP∞. It is proved that the Bergman kernel K(t, v) of D equals to zero for the two points t and v in D if and only if their image points under ιφ are conjugate points of CP∞.
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