Let $X$ be a compact Kahler space, then Albanese morphism $alb_X:X\to Alb(X)$ is a well-defined morphism when $X$ has at worst rational singularities.

It there some examples such that $X$ has worse than rational singularities and Albanese morphism is not well defined.

Let $X$ be a compact Kahler space(Kahler variety), then it is known that the Albanese morphism $alb_X:X\to Alb(X)$ is a well-defined morphism when $X$ has at worst rational singularities.

It there some examples such that $X$ has worse than rational singularities and Albanese morphism is not well defined.

Let $X$ be a compact Kahler space, then Albanese morphism $alb_X:X\to Alb(X)$ is a well-defined morphism when $X$ has at worst rational singularities.

It there some examples such that $X$ worse than rational singularities and Albanese morphism is not well defined.

Let $X$ be a compact Kahler space, then Albanese morphism $alb_X:X\to Alb(X)$ is a well-defined morphism when $X$ has at worst rational singularities.

It there some examples such that $X$ has worse than rational singularities and Albanese morphism is not well defined.