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Results tagged with algebraic-curves
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user 70593
for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
6
votes
1
answer
247
views
Are there curves of genus 2 with real multiplication by a non-maximal order?
Let us work over $\mathbb{C}$ for the moment.
Assume we are given a real quadratic field $K$ with ring of integers $\mathcal{O}_K$.
$\mathbf{Question:}$ Is there a smooth projective curve $C$ of gen …
- 3,035
3
votes
0
answers
285
views
How much information is encoded in the Jacobian-Kummer K3 surface of a curve of genus two?
Assume we work over $\mathbb{C}$.
Let $S\subset \mathbb{P}^3$ be a quartic surfaces with 16 nodes (ordinary double points). Then there is a simple principally polarized abelian surface $(A,\theta)$ …
- 1,025