Publication details

Approximation diophantienne et distribution locale sur une surface torique II

authored by
Zhizhong Huang
Abstract

(Diophantine approximation and local distribution on a toric surface II). - We propose an empirical formula for the problem of local distribution of rational points of bounded height. This is a local version of the Batyrev-Manin-Peyre principle. We verify this for a toric surface, on which cuspidal rational curves and nodal rational curves all give the best approximations outside a Zariski closed subset. We prove the existence of a limit measure as well as an asymptotic formula for the critical zoom by removing a thin set.

Organisation(s)
Institute of Algebra, Number Theory and Discrete Mathematics
Type
Article
Journal
Bulletin de la Societe Mathematique de France
Volume
148
Pages
189-235
No. of pages
47
ISSN
0037-9484
Publication date
06.2020
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Mathematics(all)
Electronic version(s)
https://doi.org/10.48550/arXiv.1805.03920 (Access: Open)
https://doi.org/10.24033/bsmf.2803 (Access: Closed)