Tagged Questions
0
votes
1answer
56 views
Representing a curve as a plane curve in different ways
Let $X$ be a (smooth projective geometrically connected) curve over $k$, where $k$ is a field of characteristic zero. We assume $X$ has genus at least $2$.
I know that $X$ has a plane model. More ...
4
votes
2answers
114 views
Genus of curves embedded into some projective space
The Plucker formula allows one to calculate the genus of a curve embedded into $\mathbf{P}^2$.
Does there exist a "higher-dimensional" analogue of the Plucker formula? More precisely, let ...