Un lemme matriciel effectif
Pascal Autissier (IMB)
TL;DR
This paper presents an improved effective version of Masser's matrix lemma, providing a near-optimal lower bound on the height of an abelian variety based on its period lattices.
Contribution
It introduces a nearly optimal effective bound for the height of abelian varieties, refining previous results in the area.
Findings
Derived a near-optimal lower bound for abelian variety heights.
Enhanced understanding of the relationship between period lattices and heights.
Provided a more precise version of Masser's matrix lemma.
Abstract
We show an almost optimal effective version of Masser's matrix lemma, giving a lower bound of the height of an abelian variety in terms of its period lattices.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation