Calabi-Yau black holes

We find the entropy of $N=2\mathrm{}$ extreme black holes associated with general Calabi-Yau moduli space and the prepotential ${F=d}_{\mathrm{ABC}}{(X}^A{X}^B{X}^C{/X}^0)$. We show that for arbitrary $d_{\mathrm{ABC}}$ and black hole charges $p$ and $q$ the entropy-area formula depends on combinations of these charges and parameters $d_{\mathrm{ABC}}.$ These combinations are the solutions of a simple system of algebraic equations. We give a few examples of particular Calabi-Yau moduli spaces for which this system has an explicit solution. For the special case when one of the black hole charges is equal to zero ${(p}^0=0)$ the solution always exists.