AVERAGE VALUES ON THE JACOBIAN VARIETY OF A HYPERELLIPTIC CURVEopen access
- Authors
- Chung, Jiman; Im, Bo-Hae
- Issue Date
- Mar-2019
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Jacobian variety; hyperelliptic curve
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.56, no.2, pp 333 - 349
- Pages
- 17
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 56
- Number
- 2
- Start Page
- 333
- End Page
- 349
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/45055
- DOI
- 10.4134/BKMS.b180167
- ISSN
- 1015-8634
2234-3016
- Abstract
- We give explicitly an average value formula under the multiplication-by-2 map for the x-coordinates of the 2-division points D on the Jacobian variety J(C) of a hyperelliptic curve C with genus g if 2D 2P - 2 infinity (mod Pic(C)) for P = (x(P),y(P)) is an element of C with y(P) not equal 0. Moreover, if g = 2, we give a more explicit formula for D such that 2D P - infinity (mod Pic(C)).
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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