p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication
We show how the finiteness of integral points on an elliptic curve over Q with complex multiplication can be accounted for by the nonvanishing of L-functions that leads to bounds for dimensions of Selmer varieties.
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| Format: | Journal article |
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Princeton University, Department of Mathematics
2010
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| _version_ | 1826271684981686272 |
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| author | Kim, M |
| author_facet | Kim, M |
| author_sort | Kim, M |
| collection | OXFORD |
| description | We show how the finiteness of integral points on an elliptic curve over Q with complex multiplication can be accounted for by the nonvanishing of L-functions that leads to bounds for dimensions of Selmer varieties. |
| first_indexed | 2024-03-06T22:00:34Z |
| format | Journal article |
| id | oxford-uuid:4e71b690-280e-4ee6-b460-af96a62b6486 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:00:34Z |
| publishDate | 2010 |
| publisher | Princeton University, Department of Mathematics |
| record_format | dspace |
| spelling | oxford-uuid:4e71b690-280e-4ee6-b460-af96a62b64862022-03-26T16:01:10Zp-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplicationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4e71b690-280e-4ee6-b460-af96a62b6486Symplectic Elements at OxfordPrinceton University, Department of Mathematics2010Kim, MWe show how the finiteness of integral points on an elliptic curve over Q with complex multiplication can be accounted for by the nonvanishing of L-functions that leads to bounds for dimensions of Selmer varieties. |
| spellingShingle | Kim, M p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication |
| title | p-adic L-functions and Selmer varieties associated to elliptic curves
with complex multiplication |
| title_full | p-adic L-functions and Selmer varieties associated to elliptic curves
with complex multiplication |
| title_fullStr | p-adic L-functions and Selmer varieties associated to elliptic curves
with complex multiplication |
| title_full_unstemmed | p-adic L-functions and Selmer varieties associated to elliptic curves
with complex multiplication |
| title_short | p-adic L-functions and Selmer varieties associated to elliptic curves
with complex multiplication |
| title_sort | p adic l functions and selmer varieties associated to elliptic curves with complex multiplication |
| work_keys_str_mv | AT kimm padiclfunctionsandselmervarietiesassociatedtoellipticcurveswithcomplexmultiplication |