In the following paper, the author showed that the number of moduli is not equal to the tangent space of deformations dim$H^1(M_t,\Theta_t)$. In which the author said Full proofs will appear elsewhere.
I cannot find where he (Arnold Samuel Kas) gives the proof? Is there some paper?
On Obstructions to Deformations of Complex Analytic Surfaces Arnold Kas Proceedings of the National Academy of Sciences of the United States of America Vol. 58, No. 2 (Aug. 15, 1967), pp. 402-404