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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

3 votes

When is a product of elliptic curves isogenous to the Jacobian of a hyperelliptic curve?

In two papers dated 2014 and 2016 (i.e., after 6 years the question was posted), this question was completely solved in genus 2 case by E. Kani. As Francesco Polizzi mentioned, this question was parti …
Harun Kir's user avatar
1 vote

Naive question on the Jacobian of a curve

The answer is no. Your question is equivalent to the question that is there only one curve on an abelian variety? I mean that let $C$ be a smooth, genus 2 curve on an abelian surface $A$. Then $J_C\si …
Harun Kir's user avatar