Holomorphic Lefschetz formula for transversal correspondences

Let $M$ be a compact complex manifold and let $\Gamma$ be a transversal holomorphic correspondence on $M$. At each fixed point $p$, write $J(\Gamma)_p$ for the Jacobian matrix of the locally defined holomorphic map representing $\Gamma$ in holomorphic coordinates. The holomorphic Lefschetz number is

$$L(\Gamma,\mathcal{O})=\sum_{\text{fixed points }p}\frac{1}{1-\det J(\Gamma)_p}.$$

Holomorphic Lefschetz conjecture for correspondences. The displayed formula holds. This is intended as the correspondence analogue of the holomorphic Lefschetz fixed point formula, expressing the global alternating trace on cohomology as a sum of local contributions at fixed points. Its resolution is not specified in the source.