Good afternoon,

I encounter the notion of Albanese map $alb$ from a compact Kahler manifold $X$ to its Albanese torus. I would like to know any properties of the fibers of this map, i.e. the set $alb^{-1}(y)$ with $y$ an element of the Albanese torus.

Any help is appreciated. Thanks in advances,

Duc Anh