Computing zeta functions of arithmetic schemes
From MaRDI portal
Publication:3466894
DOI10.1112/PLMS/PDV056zbMATH Open1333.11062arXiv1402.3439OpenAlexW2963557653MaRDI QIDQ3466894
Author name not available (Why is that?)
Publication date: 25 January 2016
Published in: (Search for Journal in Brave)
Abstract: We present new algorithms for computing zeta functions of algebraic varieties over finite fields. In particular, let X be an arithmetic scheme (scheme of finite type over Z), and for a prime p let zeta_{X_p}(s) be the local factor of its zeta function. We present an algorithm that computes zeta_{X_p}(s) for a single prime p in time p^(1/2+o(1)), and another algorithm that computes zeta_{X_p}(s) for all primes p < N in time N (log N)^(3+o(1)). These generalise previous results of the author from hyperelliptic curves to completely arbitrary varieties.
Full work available at URL: https://arxiv.org/abs/1402.3439
No records found.
No records found.
This page was built for publication: Computing zeta functions of arithmetic schemes
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3466894)
