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for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
1
vote
1
answer
658
views
when a section descends?
Let $C$ be a (reduced, possibly reducible, complex) projective singular curve. Let $\nu: C'\to C$ a finite surjective birational morphism. (For example the normalization, but could be some intermediat …
3
votes
1
answer
407
views
Defining ideals for rational curves in space
A rational normal curve $C_d\subset\mathbb{P}^d$ is defined by quadrics. I guess, for the generic projection $\mathbb{P}^d\stackrel{\pi}{\to}\mathbb{P}^n$ the image $\pi(C_d)$ is still defined by quad …