  For $Y \subset X$ a locally complete intersection of codimension p, Spencer
Bloch [2] constructed the semi-regularity map $\pi: H^{1}(\mathcal{N}_{Y/X})
\to H^{p+1}(\Omega_{X/k}^{p-1})$. As an analogue, we construct a map
$\tilde{\pi}: H^{1}(\mathcal{N}_{Y/X}) \to
H^{p+1}(\Omega_{X/\mathbb{Q}}^{p-1})$, without assuming local complete
intersections.
  While the semi-regularity map $\pi$ is expected to be injective, we show
$\tilde{\pi}$ is a zero map. We use this zero map to interpret how to eliminate
obstructions to deforming cycles, an idea by Mark Green and Phillip Griffiths
in [9].
