On Vojta's proof of the Mordell conjecture
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918192829431808 |
|---|---|
| author | Yuan, Xinyi |
| author_facet | Yuan, Xinyi |
| contents | This paper re-organizes Vojta's proof of the Mordell conjecture (i.e. Faltings' theorem) in terms of Arakelov geometry. A new ingredient is to replace an application of Gillet--Soule's arithmetic Riemannn--Roch theorem by that of Yuan's arithmetic Siu inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11888 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Vojta's proof of the Mordell conjecture Yuan, Xinyi Number Theory Algebraic Geometry 14G40, 11G50 This paper re-organizes Vojta's proof of the Mordell conjecture (i.e. Faltings' theorem) in terms of Arakelov geometry. A new ingredient is to replace an application of Gillet--Soule's arithmetic Riemannn--Roch theorem by that of Yuan's arithmetic Siu inequality. |
| title | On Vojta's proof of the Mordell conjecture |
| topic | Number Theory Algebraic Geometry 14G40, 11G50 |
| url | https://arxiv.org/abs/2508.11888 |