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Uniform estimate of Lang-Weil type for counting points of schemes over finite rings

Nguyen, Kien Huu
arXiv (All) · Papers
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algebraic-geometrynumber-theory
In this paper, we study the number of points of $\mathbb{Z}$-schemes $X$ of finite type over the finite rings $\mathbb{Z}/p^m\mathbb{Z}$ for positive integers $m$ and prime numbers $p$. Motivated by Igusa's conjecture for exponential sums and the Lang-Weil estimate, we establish an estimate of $X(\m
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