Abstract
Let C be a smooth, absolutely irreducible genus 3 curve over a number field M. Suppose that the Jacobian of C has complex multiplication by a sextic CM-field K. Suppose further that K contains no imaginary quadratic subfield. We give a bound on the primes 𝔭 of M such that the stable reduction of C at 𝔭 contains three irreducible components of genus 1.
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CITATION STYLE
APA
Bouw, I., Cooley, J., Lauter, K., Lorenzo García, E., Manes, M., Newton, R., & Ozman, E. (2015). Bad Reduction of Genus Three Curves with Complex Multiplication. In Association for Women in Mathematics Series (Vol. 2, pp. 109–151). Springer. https://doi.org/10.1007/978-3-319-17987-2_5
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