A remark on Ehresmann's Fibration Theorem

TL;DR

This paper shows that in complex varieties, the cohomological implications of Ehresmann's fibration theorem are valid even without assuming smoothness of the base or total space.

Contribution

It extends Ehresmann's fibration theorem to complex varieties without the smoothness requirement on the base or total space.

Findings

Cohomological consequences hold without smoothness assumptions

The result applies to complex varieties in general

No smoothness assumption needed for the theorem's cohomological part

Abstract

This note records that in the setting of complex varieties, the cohomological consequence of Ehresmann's fibration theorem holds without the smooth assumption on the base or the total space.