Let $X$ and $Y$ are algebraic varieties defined over complex numbers. Let $f:X\to Y$ be a morphism of algebraic varieties such that $f$ is a locally trivial fibre bundle in usual complex topology. When is $f$ Zariski locally trivial?

Any comments, suggestions on how to think about the question will be extremely helpful.

Let $X$ and $Y$ be algebraic varieties defined over the complex numbers. Let $f:X\to Y$ be a morphism of algebraic varieties such that $f$ is a locally trivial fibre bundle in usual complex topology. When is $f$ Zariski locally trivial?

Any comments, suggestions on how to think about the question will be extremely helpful.

Let $X$ and $Y$ are algebraic varieties defined over complex numbers. Let $f:X\to Y$ be a morphism of algebraic varieties such that $f$ is a locally trivial fibre bundle in usual complex topology. When is $f$ Zariski locally trivial?

Any comments, suggestions on how to think about the question will be extremely helpful. Thanks in advance!!

Let $X$ and $Y$ are algebraic varieties defined over complex numbers. Let $f:X\to Y$ be a morphism of algebraic varieties such that $f$ is a locally trivial fibre bundle in usual complex topology. When is $f$ Zariski locally trivial?

Any comments, suggestions on how to think about the question will be extremely helpful.