Cohomological divisibility and point count divisibility
数论
2007-05-23 v2 代数几何
摘要
We show that Ax-Katz divisibility on the number of rational points of a variety defined over a finite field by equations of low degrees comes from divisibility of the eigenvalues of the Frobenius action of the -adic cohomology with compact supports. This completes the motivc picture, as we knew already that in characteristic 0, the Hodge type was the expected one. [version 2 as the title contained a typo..., else no changes]
引用
@article{arxiv.math/0305127,
title = {Cohomological divisibility and point count divisibility},
author = {Hélène Esnault and Nicholas M. Katz},
journal= {arXiv preprint arXiv:math/0305127},
year = {2007}
}
备注
10 pages, latex