Counting multiplicities in a hypersurface over a finite field

DOI10.1215/21562261-2022-0006OpenAlexW4226326136MaRDI QIDQ2672161

Chunhui Liu

Publication date: 8 June 2022

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.09337

zbMATH Keywords

rational pointscounting multiplicitiesarithmetic over finite fieldsintersection tree

Mathematics Subject Classification ID

Rational points (14G05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Singularities of surfaces or higher-dimensional varieties (14J17) Varieties over global fields (11G35)

Related Items (1)

On the global determinant method

Cites Work

• Existence of rational points on smooth projective varieties
• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Explicit uniform estimation of rational points I. Estimation of heights
• Explicit uniform estimation of rational points II. Hypersurface coverings
• Lectures on Resolution of Singularities (AM-166)
• Degré de la variété duale d'une hypersurface à singularités isolées
• On the intersection multiplicity of images under an etale morphism
• Counting Multiplicities in a Hypersurface over Number Fields
• On the density of rational and integral points on algebraic varieties
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