Zeta functions and Cartier divisors on singular curves over finite fields

DOI10.1007/BF02677839zbMath0942.14012OpenAlexW2020047177MaRDI QIDQ1383235

Wilson A. Zuniga-Galindo

Publication date: 30 July 2000

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

Full work available at URL: https://eudml.org/doc/156324

zbMATH Keywords

finite fieldzeta functionsCartier divisors

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Singularities of curves, local rings (14H20)

Related Items (6)

The analytic class number formula for 1‐dimensional affine schemes ⋮ Motivic zeta functions for curve singularities ⋮ On the relation between the generalized Poincaré series and the Stöhr zeta function ⋮ Local and global zeta-functions of singular algebraic curves ⋮ The local and global zeta functions of Gauss's curve ⋮ On Poincaré series of singularities of algebraic curves over finite fields

Cites Work

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• Functional equations for zeta functions of non-Gorenstein orders in global fields
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Equivalence relations on algebraic curves
• Generalized jacobian varieties
• On the arithmetic genera and the effective genera of algebraic curves
• Semigroups associated to singular points of plane curves.
• On the poles of regular differentials of singular curves
• A General Theory of One-dimensional Local Rings

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