Arithmetic properties of algebraic curves from a pseudo-characteristic polynomial of a finite potent endomorphism

DOI10.1007/S12215-024-01157-6MaRDI QIDQ6667767

Fernando Pablos Romo

Publication date: 20 January 2025

Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)

zbMATH Keywords

algebraic curvesfinite potent endomorphismarithmetic propertiesTate's trace

Mathematics Subject Classification ID

Operator theory (47-XX) Algebraic geometry (14-XX)

Cites Work

• Special \(L\)-values of Drinfeld modules
• On the local residue symbol in the style of Tate and Beilinson
• Local Beilinson-Tate operators
• On bounded finite potent operators on arbitrary Hilbert spaces
• Classification of finite potent endomorphisms
• Adèle residue symbol and Tate's central extension for multiloop Lie algebras
• Core-Nilpotent decomposition and new generalized inverses of finite potent endomorphisms
• On Tate's trace
• Residues of differentials on curves
• Explicit solutions of non-homogeneous difference equations from finite potent endomorphisms

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