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- W3125903495 abstract "We give examples of smooth plane quartics over $mathbb{Q}$ with complex multiplication over $overline{mathbb{Q}}$ by a maximal order with primitive CM type. We describe the required algorithms as we go, these involve the reduction of period matrices, the fast computation of Dixmier-Ohno invariants, and reconstruction from these invariants. Finally, we discuss some of the reduction properties of the curves that we obtain." @default.
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- W3125903495 date "2018-01-01" @default.
- W3125903495 modified "2023-10-15" @default.
- W3125903495 title "Plane quartics over $mathbb {Q}$ with complex multiplication" @default.
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- W3125903495 doi "https://doi.org/10.4064/aa170227-16-3" @default.
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