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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.

Award ID(s):
2053473 1802161
Publication Date:
Journal Name:
Research in Number Theory
Springer Science + Business Media
Sponsoring Org:
National Science Foundation
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