2023/11/03 by Ratko Darda, Takehiko Yasuda, Darda, Ratko +1 · 1 citation
Mathematics · Pharmacology, Toxicology and Pharmaceutics · Social Sciences · #11G35 #11G50 #14G05 #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics #Number Theory (math.NT) #Vietnamese History and Culture Studies
paper · pdf · doi:10.48550/arxiv.2311.02012
openalex publication_date 2023/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Split toric stacks over a number field F are natural generalization of split toric varieties over F. Notable examples are weighted projective stacks. In our previous work, we defined heights on Deligne-Mumford stacks using so-called raised line bundles and made predictions on asymptotic formulas of the number of rational points of bounded height. In this paper, we prove that the number of rational points of any split toric stack of bounded height with respect to the anti-canonical raised line bundle satisfies one of our predictions, the Manin conjecture for Deligne-Mumford stacks.