کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583429 1333902 2008 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2
چکیده انگلیسی

We determine the isogeny classes of supersingular abelian threefolds over Fn2 containing the Jacobian of a genus 3 curve. In particular, we prove that for even n>6 there always exist a maximal and a minimal curves of genus 3 over Fn2. The methods provide an explicit construction of supersingular curves of genus 3 with Jacobian in a prescribed isogeny class.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 14, Issue 3, July 2008, Pages 676-702