Gaussian Point Count Statistics for Families of Curves Over a Fixed Finite Field

DOI10.1093/imrn/rnq154zbMath1297.11063arXiv1003.2223OpenAlexW2169152470MaRDI QIDQ3008194

Igor Wigman, Pär Kurlberg

Publication date: 14 June 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2223

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (6)

On the distribution of zeroes of Artin-Schreier \(L\)-functions ⋮ A heuristic for the distribution of point counts for random curves over a finite field ⋮ The probability that a complete intersection is smooth ⋮ Distribution of zeta zeroes for abelian covers of algebraic curves over a finite field ⋮ Semiample Bertini theorems over finite fields ⋮ Distributions of Traces of Frobenius for Smooth Plane Curves Over Finite Fields

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