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Results tagged with algebraic-curves
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user 48522
for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
4
votes
1
answer
351
views
"Generalized" clutching maps between moduli spaces of curves
Let $P=\{1,\dots,n\}$ and $S\subseteq P$. The map $$\nu:\overline{\mathcal{M}}_{i,S\cup\{q\}}\to \overline{\mathcal{M}}_{g,P},$$ which attaches to a curve in the domain a pointed genus $g-i$ curve $[D …
- 325
3
votes
2
answers
741
views
Curves and trisecant lines
We know that rational normal curves and elliptic normal curves have no trisecant lines. For the "next" case, this is still true. That is, a nondegenerate curve of degree $d\geq 5$ and genus $2$ in $\m …
- 325
1
vote
0
answers
150
views
Are two line bundles with the same ramification type necessarily isomorphic?
I have no motivation for the following problem, I am just curious if it is true or not. Here it is:
If $l_1$ and $l_2$ are two complete $g^r_d$'s on a smooth curve $C$ such that the vanishing sequenc …
- 325