Work

A motivic Vojta inequality for non-CM elliptic curves with unbounded height

Year: 2026

Type: preprint

Abstract: We study a bounded-degree form of a motivic Vojta inequality for pure André motives, arising from a question of Kato. We verify this inequality for infinitely many non-CM elliptic curves with unbounded stable Faltings height. The point is that ramification at the finite poles of the $j$-invariant gives the required discriminant bound.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2611.05672

Author: Kawabe, Daiki

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225294017

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