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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
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 …
Irfan Kadikoylu's user avatar
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 …
Irfan Kadikoylu's user avatar
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 …
Irfan Kadikoylu's user avatar