Lefschetz theorems for tamely ramified coverings
Lefschetz theorems for tamely ramified coverings
As is well known, the Lefschetz theorems for the étale fundamental group of quasi-projective varieties do not hold. We fill a small gap in the literature showing they do for the tame fundamental group. Let $X$ be a regular projective variety over a field $k$, and let $D\hookrightarrow X$ be …