Computing zeta functions of generic projective hypersurfaces in larger\n characteristic

2017/04/07 by Jan Tuitman, Tuitman, Jan
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1704.02306

openalex publication_date 2017/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give improvements of the deformation method for computing the zeta\nfunction of a generic projective hypersurface in characteristic~p that either\nreduce the dependence on~p of the time complexity to \O(p^1/2) or\nthat of the space complexity to \O(\log(p)) while remaining polynomial\nin the other input parameters.\n

Citations

• Bounding Picard numbers of surfaces using p-adic cohomology

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