Let $V$ be a compact connected complex analytic subvariety (possibly singular) of a complex smooth manifold. Let $n$ denote its complex dimension.

**Is it true that $H_{2n}(V,\mathbb{Z})\simeq \mathbb{Z}$?**

A reference would be helpful.

Remark. I believe that the answer is positive, but have no idea how to prove it (I am not a specialist.) Is it a difficult result?