Manin's conjecture for integral points on toric varieties

Autor:	Santens, Tim
Rok vydání:	2023
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry 11D45 (Primary) 11G35 11G50 14G05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We formulate a conjecture on the number of integral points of bounded height on log Fano varieties in analogy with Manin's conjecture on the number of rational points of bounded height on Fano varieties. We also give a prediction for the leading constant which is similar to Peyre's interpretation of the leading constant in Manin's conjecture. We give evidence for our conjecture by proving it for toric varieties. The proof is based on harmonic analysis on universal torsors. Comment: 65 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.13914 Zobrazit plný text záznamu View this record from Arxiv