Campana points on biequivariant compactifications of the Heisenberg group
Huan Xiao
TL;DR
This paper investigates Campana points on specific algebraic varieties related to the Heisenberg group and confirms a conjecture about their distribution, advancing understanding in arithmetic geometry.
Contribution
It provides the first verification of the log Manin conjecture for biequivariant compactifications of the Heisenberg group.
Findings
Confirmed the log Manin conjecture for these varieties
Established asymptotic formulas for Campana points
Enhanced understanding of distribution of rational points
Abstract
We study Campana points on biequivariant compactifications of the Heisenberg group and confirm the log Manin conjecture introduced by Pieropan, Smeets, Tanimoto and V\'{a}rilly-Alvarado.
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
TopicsAdvanced Algebra and Geometry · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology