An Explicit Formula for the Genus 3 Agm
نویسنده
چکیده
Given a smooth non-hyperelliptic curve C of genus 3 and a maximal isotropic subgroup (w.r.t. the Weil pairing) L ⊂ Jac(C)[2], there exists a smooth curve C′ s.t. Jac(C′) = Jac(C)/L. This construction is symmetric. i.e. if we start with C′ and the dual flag on it, we get C. A previous less explicit approach was taken by Donagi and Livné (see [DL]). The advantage of our construction is that it is explicit enough to describe the isomorphism H0(C,ΩC) = H 0(C′,ΩC′ ).
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تاریخ انتشار 2001