Distribution of rational points on random Fano hypersurfaces

Autor:	Matsuzawa, Yohsuke, Suzuki, Yuta
Rok vydání:	2023
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry Primary: 11D45 Secondary: 11P21 14G05
Druh dokumentu:	Working Paper
Popis:	We prove an asymptotic formula for the average number of rational points on Fano hypersurfaces that are contained in a small ball centered at a given adelic point. We also prove an asymptotic formula for the number of hypersurfaces admitting adelic points that are contained in a small ball. Comment: 81 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.13408 Zobrazit plný text záznamu View this record from Arxiv