Higher-dimensional 3-adic CM construction
نویسندگان
چکیده
منابع مشابه
Higher dimensional 3-adic CM construction
We outline a method for the construction of hyperelliptic curves of genus 2 over small number fields whose Jacobian has complex multiplication and ordinary good reduction at the prime 3. We prove the existence of a quasi-quadratic time algorithm for canonically lifting in characteristic 3 based on equations defining a higher dimensional analogue of the classical modular curve X0(3). We give a d...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2008
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2007.11.016