ABC inequalities for some moduli spaces of log-general type
We prove a new bound for the Arakelov-Faltings height of an abelian variety over a function field of characteristic zero and relate it to inequalities of ABC-type as conjectured by Buium and Vojta.
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| Format: | Journal article |
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International Press
1998
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| _version_ | 1826281043631538176 |
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| author | Kim, M |
| author_facet | Kim, M |
| author_sort | Kim, M |
| collection | OXFORD |
| description | We prove a new bound for the Arakelov-Faltings height of an abelian variety over a function field of characteristic zero and relate it to inequalities of ABC-type as conjectured by Buium and Vojta. |
| first_indexed | 2024-03-07T00:22:51Z |
| format | Journal article |
| id | oxford-uuid:7d219353-5ba5-45a5-9f6c-fa9cb663b721 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:22:51Z |
| publishDate | 1998 |
| publisher | International Press |
| record_format | dspace |
| spelling | oxford-uuid:7d219353-5ba5-45a5-9f6c-fa9cb663b7212022-03-26T21:01:34ZABC inequalities for some moduli spaces of log-general typeJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7d219353-5ba5-45a5-9f6c-fa9cb663b721Symplectic Elements at OxfordInternational Press1998Kim, MWe prove a new bound for the Arakelov-Faltings height of an abelian variety over a function field of characteristic zero and relate it to inequalities of ABC-type as conjectured by Buium and Vojta. |
| spellingShingle | Kim, M ABC inequalities for some moduli spaces of log-general type |
| title | ABC inequalities for some moduli spaces of log-general type |
| title_full | ABC inequalities for some moduli spaces of log-general type |
| title_fullStr | ABC inequalities for some moduli spaces of log-general type |
| title_full_unstemmed | ABC inequalities for some moduli spaces of log-general type |
| title_short | ABC inequalities for some moduli spaces of log-general type |
| title_sort | abc inequalities for some moduli spaces of log general type |
| work_keys_str_mv | AT kimm abcinequalitiesforsomemodulispacesofloggeneraltype |