On K-stability, height bounds and the Manin-Peyre conjecture
Artikel i vetenskaplig tidskrift, 2025

This note discusses some intriguing connections between height bounds on complex K-semistable Fano varieties X and Peyre’s conjectural formula for the density of rational points on X. Relations to an upper bound for the smallest rational point, proposed by Elsenhans-Jahnel, are also explored. These relations suggest an analog of the height inequalities, adapted to the real points, which is established for the real projective line and related to Kahler-Einstein metrics.

Författare

Robert Berman

Chalmers, Matematiska vetenskaper, Algebra och geometri

Pure and Applied Mathematics Quarterly

1558-8599 (ISSN) 1558-8602 (eISSN)

Vol. 21 3 931-970

Ämneskategorier (SSIF 2025)

Matematik

DOI

10.4310/PAMQ.250115041532

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Senast uppdaterat

2025-03-31