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arXiv:2103.16530 [math.NT]AbstractReferencesReviewsResources

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

Everett W. Howe, Kiran S. Kedlaya

Published 2021-03-30Version 1

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

Comments: 5 pages
Categories: math.NT, math.AG
Subjects: 11A67, 11G10, 14G15, 14K15
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