The Number of Hyperelliptic Curves over Finite Fields with Even Characteristic
碩士 === 國立臺灣大學 === 數學研究所 === 95 === In this thesis, we will give an asymptotic behavior of the number of hyperelliptic curves with Weierstrass points of arbitrary genus $g$ over $F_q$ when $q$ is even. Our result is $2q^{2g−1}+q^{g−1}+O(q^{g−2})$ if $g$ is odd; $2q^{2g−1}+q^g+O(q^{g−1})$ if $g$is eve...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2007
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| Online Access: | http://ndltd.ncl.edu.tw/handle/68628950501295196397 |