Cryptology ePrint Archive: Report 2017/006
Reduced Mumford divisors of a genus 2 curve through its jacobian function field
Eduardo Ruiz Duarte
Abstract: We explore the function field of the jacobian JH of a hyperelliptic
curve H of genus 2 in order to find reduced coordinates to represent
points of JH and do arithmetic.
We show how this relates to the usual Mumford representation of points
of JH. Moreover we identify the open subsets of JH where our reduced coordinates are defined, characterizing the elements which can be reduced and we discuss the group operation with them.
Category / Keywords: hyperelliptic, Mumford, arithmetic
Date: received 6 Jan 2017
Contact author: e ruiz duarte at rug nl
Available format(s): PDF | BibTeX Citation
Version: 20170111:130626 (All versions of this report)
Short URL: ia.cr/2017/006
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