Bogomolov's Conjecture for Hyperelliptic Curves over Function Fields
Kazuhiko Yamaki
TL;DR
This paper proves the Effective Bogomolov's Conjecture specifically for hyperelliptic curves over function fields, advancing understanding in arithmetic geometry.
Contribution
It provides a proof of the conjecture for a significant class of curves over function fields, which was previously unresolved.
Findings
Confirmed the conjecture for hyperelliptic curves over function fields
Extended the scope of Bogomolov's Conjecture to new cases
Enhanced techniques in arithmetic geometry
Abstract
In this paper, we prove the Effective Bogomolov's Conjecture for hyperelliptic curves defined over function fields.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Cryptography and Residue Arithmetic · Algebraic and Geometric Analysis