A recursive method for computing zeta functions of varieties

Details A recursive method for computing zeta functions of varieties A recursive method for computing zeta functions of varieties

2006-02-16

arxiv.org/abs/math/0602352v1

LMS J. Comp. Math. Vol.9, 2006, 222-269. www.lms.ac.uk/jcm/9/

Mathematics

Number Theory

48 Pages

Scientific paper

We present a method for computing the zeta function of a smooth projective
variety over a finite field which proceeds by induction on the dimension. We
have implemented our approach for some surfaces using the Magma programming
language, and present some explicit examples which we have computed.

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