Abstract
For K3 surfaces, we derive some conditions the characteristic polynomial of the Frobenius on the étale cohomology must satisfy. These conditions may be used to speed up the computation of Picard numbers and the decision of the sign in the functional equation**. Our investigations are based on the Artin-Tate formula.
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Elsenhans, AS., Jahnel, J. (2010). On Weil Polynomials of K3 Surfaces. In: Hanrot, G., Morain, F., Thomé, E. (eds) Algorithmic Number Theory. ANTS 2010. Lecture Notes in Computer Science, vol 6197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14518-6_13
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DOI: https://doi.org/10.1007/978-3-642-14518-6_13
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