Computing zeta functions of nondegenerate hypersurfaces with few monomials

DOI10.1112/S1461157012001179zbMath1343.11097arXiv1112.4881OpenAlexW3102632601MaRDI QIDQ5169590

John Voight, Steven I. Sperber

Publication date: 11 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4881

zbMATH Keywords

deterministic algorithmprojective hypersurfacesaffine hypersurfacestoric hypersurfaces\(L\)-function of exponential sum

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (5)

Zeta functions of alternate mirror Calabi-Yau families ⋮ Computing zeta functions of arithmetic schemes ⋮ Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in \(p\)-adic cohomology ⋮ Variation of Néron–Severi Ranks of Reductions of K3 Surfaces ⋮ Projective toric codes

Cites Work

• A Recursive Method for Computing Zeta Functions of Varieties
• Computing Zeta Functions of Artin–schreier Curves over Finite Fields

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