Multi-height analysis of rational points of toric varieties
Nicolas Bongiorno
TL;DR
This paper investigates the distribution of rational points on smooth, projective split toric varieties over Q by analyzing their multi-height properties through universal torsors.
Contribution
It introduces a novel approach to studying rational points using multi-height analysis and universal torsors for toric varieties.
Findings
Characterization of multi-height distribution patterns
New bounds on the number of rational points
Insights into the geometric structure influencing point distribution
Abstract
We study the multi-height distribution of rational points of smooth, projective and split toric varieties over using the lift of the number of points to universal torsors.
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 · Polynomial and algebraic computation · Commutative Algebra and Its Applications