Control Theorems for Abelian Varieties over Function Fields
Ki-Seng Tan
TL;DR
This paper establishes control theorems for abelian varieties over function fields, providing new insights into their arithmetic properties and behavior in various extensions.
Contribution
It introduces novel control theorems specifically tailored for abelian varieties over function fields, expanding the theoretical framework in this area.
Findings
Proved control theorems for abelian varieties over function fields
Enhanced understanding of the arithmetic of abelian varieties in function field extensions
Potential applications to Iwasawa theory and related areas
Abstract
We prove control theorems for abelian varieties over function fields.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Algebraic Geometry and Number Theory · Meromorphic and Entire Functions