3
votes
Accepted
smooth proper connected curve over a field is projective
The proof given in the link does not need algebraic closure of $k$ - the key steps in the proof are that normalization over a field is a finite morphism, finite morphisms are projective, and the curve ...
- 60.9k
3
votes
Accepted
Maximal number of multiple points for an irreducible quartic
If three of the multiple points are collinear, then the line through these three multiple points has intersection multiplicity at least 6 with the quartic, contradicting Bezout. If no three of these ...
- 60.9k
Only top scored, non community-wiki answers of a minimum length are eligible