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Bad Reduction of Genus Two Curves with complex multiplication

Bruinier, Jan Hendrik et al.
arXiv (All) · Papers
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algebraic-geometrynumber-theory
We study genus two curves whose Jacobians have complex multiplication by a biquadratic CM field. In this setting the Jacobian decomposes as a product of two elliptic curves with complex multiplication by orders in the same imaginary quadratic field. We derive upper bounds for the primes of stable ba
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