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Results tagged with algebraic-curves
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user 439
for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
11
votes
Is the Torelli map an immersion?
Yes the Torelli map is an immersion, at least over $\mathbb{C}$. The Torelli theorem says that the map separates points (on the stack level it also says tha the map is representable) and the infinites …
- 6,239
3
votes
Accepted
Genus two pencil in K3 surface
You will get such a pencil of genus two curves provided that the base point of the pencil of lines is not one of the nine points that you blew up to get your $E(1)$.
But if the goal was to construct …
- 6,239
7
votes
Accepted
What is an Oper?
Look at http://arxiv.org/abs/math/0501398 (Opers, Beilinson and Drinfeld, 1993/2005)
- 6,239
7
votes
Gromov-Witten theory and compactifications of the moduli of curves
Here is a random thought on the second part of Kevin's question. There are various compactifications of the space of maps that should be meaningful physically but haven't been explored by the physicis …
- 6,239