Skip to main content

All Questions

Filter by
Sorted by
Tagged with
6 votes
1 answer
767 views

A regular, geometrically reduced but non-smooth curve

Can anyone give an example of a projective, regular, geometrically reduced but non-smooth curve ? Of course, the base field should be imperfect. In Exercise 4.3.22 of Qing Liu's book Algebraic ...
Yong Hu's user avatar
  • 620
4 votes
1 answer
367 views

Structure of fundamental groups arising from smooth projective morphisms

Let $f:X\to B$ be a smooth projective morphism of complex algebraic varieties. If $f$ is of relative dimension zero, i.e., $f$ is a finite etale cover, then the image of the topological fundamental ...
123's user avatar
  • 41