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Title: Every positive integer is the order of an ordinary abelian variety over $${{\mathbb {F}}}_2$$

We show that for every integer$$m > 0$$m>0, there is an ordinary abelian variety over $${{\mathbb {F}}}_2$$F2that has exactlymrational points.

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Award ID(s):
2053473 1802161
Author(s) / Creator(s):
Publisher / Repository:
Springer Science + Business Media
Date Published:
Journal Name:
Research in Number Theory
Medium: X
Sponsoring Org:
National Science Foundation
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