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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
1k
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resolution of singular points on curve
After reading Fulton's book "Algebraic Curves", I know how to do resolution of singular points on curves. Given an affine equation, I can get it's non-singular affine model, i.e the normalization of i …
3
votes
1
answer
1k
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Automorphism groups of Elliptic curves as Galois module
Let $E/k$ be an elliptic curve over a field of characteristic $\neq$ 2, 3. Then we have an isomorphism $ [ \ \ ] :\mu_n \rightarrow\mathrm{Aut}_{\overline{k}}(E)$, $[ \zeta ] : (x,y) \rightarrow (\zet …