Mcquillan, M. (2001) A toric extension of Faltings' Diophantine approximation on abelian varieties. Journal of Differential Geometry(57), pp. 195-231.
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Abstract
For divisors on abelian varieties, Faltings established an optimal bound on the proximity of rational points to the same. We extend this both to the quasiprojective category, where the role of abelian varieties is played by their toroidal extensions, and to holomorphic maps from the line, proving along the way some wholly general dynamic intersection estimates in value distribution theory of independent interest.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | McQuillan, Dr Michael |
| Authors: | Mcquillan, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Differential Geometry |
| Journal Abbr.: | J. Differential Geometry |
| ISSN: | 0022-040X |
| ISSN (Online): | 1945-743X |
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