Zeta functions of algebraic cycles over finite fields

DOI10.1007/BF02567679zbMath0808.14016OpenAlexW2021358321MaRDI QIDQ1191445

Daqing Wan

Publication date: 27 September 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155704

zbMATH Keywords

zeta functionRiemann-Rochalgebraic cycles over finite fieldszeta functions of zero cycles

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Varieties over finite and local fields (11G25) Algebraic cycles (14C25)

Related Items (6)

On the \(p\)-adic Riemann hypothesis for the zeta function of divisors. ⋮ Counting reducible and singular bivariate polynomials ⋮ On the \(p\)-adic meromorphy of the function field height zeta function ⋮ \(p\)-adic Wan-Riemann hypothesis for \(\mathbb{Z}_p\)-towers of curves ⋮ On the zeta function of divisors for projective varieties with higher rank divisor class group ⋮ Liminal reciprocity and factorization statistics

Cites Work

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• Lectures on forms of higher degree. Notes by S. Raghavan
• The rationality of the Poincaré series associated to the p-adic points on a variety
• Rational points of bounded height on Fano varieties
• Quelques applications du théorème de densité de Chebotarev
• Algebraic cycles and homotopy theory
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• Toward a numerical theory of ampleness
• The distribution of irreducible polynomials in several indeterminates
• Zur algebraischen Geometrie. IX. Über zugeordnete Formen und algebraische Systeme von algebraischen Mannigfaltigkeiten
• Rational Points of Abelian Varieties Over Function Fields
• Homology using Chow varieties
• Hilbert sets and zeta functions over finite fields.
• The Distribution of Irreducible Polynomials in Several Indeterminates II
• The distribution of irreducible polynomials in several indeterminates over a finite field
• On the Rationality of the Zeta Function of an Algebraic Variety
• Further Arithmetical Functions in Finite Fields
• Frobenius and the Hodge filtration
• Numbers of solutions of equations in finite fields

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