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arXiv · 1106.3953

On the characteristic polynomial of the Frobenius on \'etale cohomology

Andreas-Stephan Elsenhans·Jörg Jahnel
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Abstract

Let $X$ be a smooth proper variety of even dimension $d$ over a finite field. We establish a restriction on the value at $(-1)$ of the characteristic polynomial of the Frobenius on the middle-dimensional \'etale cohomology of $X$ with coefficients in ${\mathbb Q}_l(d/2)$.

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Andreas-Stephan Elsenhans, Jörg Jahnel. 2011-06-20. On the characteristic polynomial of the Frobenius on \'etale cohomology. https://doi.org/10.1215/00127094-3129381

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