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Galois theory of the canonical theta structure

2005/09/05 by Robert Carls, Carls, Robert
Mathematics · Medicine · Pharmacology, Toxicology and Pharmaceutics · #11G10 #11G18 #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #Berberine and alkaloids research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11G10 #msc:11G18

paper · pdf · doi:10.48550/arxiv.math/0509092

30 pages

openalex publication_date 2005/09/05 · arxiv created 2009/11/29 · arxiv updated 2009/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we give a Galois-theoretic characterization of the canonical theta structure. The Galois property of the canonical theta structure translates into certain p-adic theta relations which are satisfied by the canonical theta null point of the canonical lift. As an application we give a purely algebraic proof of some 2-adic theta identities which describe the set of theta null points of the canonical lifts of ordinary abelian varieties in characteristic 2. The latter theta relations are suitable for explicit canonical lifting.

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