تقرير
Fast computation of hyperelliptic curve isogenies in odd characteristic
| العنوان: | Fast computation of hyperelliptic curve isogenies in odd characteristic |
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| المؤلفون: | Eid, Élie |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Number Theory |
| الوصف: | Let p be an odd prime number and g $\ge$ 2 be an integer. We present an algorithm for computing explicit rational representations of isogenies between Jacobians of hyperelliptic curves of genus g over an extension K of the field of p-adic numbers Qp. It relies on an efficient resolution, with a logarithmic loss of p-adic precision, of a first order system of differential equations. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2009.12180 |
| رقم الأكسشن: | edsarx.2009.12180 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |