Computing local p-adic height pairings on hyperelliptic curves
We describe an algorithm to compute the local component at p of the Coleman-Gross p-adic height pairing on divisors on hyperelliptic curves. As the height pairing is given in terms of a Coleman integral, we also provide new techniques to evaluate Coleman integrals of meromorphic differentials and pr...
| Váldodahkkit: | , |
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| Materiálatiipa: | Journal article |
| Giella: | English |
| Almmustuhtton: |
2010
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| _version_ | 1826283958589980672 |
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| author | Balakrishnan, J Besser, A |
| author_facet | Balakrishnan, J Besser, A |
| author_sort | Balakrishnan, J |
| collection | OXFORD |
| description | We describe an algorithm to compute the local component at p of the Coleman-Gross p-adic height pairing on divisors on hyperelliptic curves. As the height pairing is given in terms of a Coleman integral, we also provide new techniques to evaluate Coleman integrals of meromorphic differentials and present our algorithms as implemented in Sage. |
| first_indexed | 2024-03-07T01:06:39Z |
| format | Journal article |
| id | oxford-uuid:8b91f22b-aa8c-4b0f-ad18-0e28ebb442cb |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:06:39Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:8b91f22b-aa8c-4b0f-ad18-0e28ebb442cb2022-03-26T22:38:56ZComputing local p-adic height pairings on hyperelliptic curvesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8b91f22b-aa8c-4b0f-ad18-0e28ebb442cbEnglishSymplectic Elements at Oxford2010Balakrishnan, JBesser, AWe describe an algorithm to compute the local component at p of the Coleman-Gross p-adic height pairing on divisors on hyperelliptic curves. As the height pairing is given in terms of a Coleman integral, we also provide new techniques to evaluate Coleman integrals of meromorphic differentials and present our algorithms as implemented in Sage. |
| spellingShingle | Balakrishnan, J Besser, A Computing local p-adic height pairings on hyperelliptic curves |
| title | Computing local p-adic height pairings on hyperelliptic curves |
| title_full | Computing local p-adic height pairings on hyperelliptic curves |
| title_fullStr | Computing local p-adic height pairings on hyperelliptic curves |
| title_full_unstemmed | Computing local p-adic height pairings on hyperelliptic curves |
| title_short | Computing local p-adic height pairings on hyperelliptic curves |
| title_sort | computing local p adic height pairings on hyperelliptic curves |
| work_keys_str_mv | AT balakrishnanj computinglocalpadicheightpairingsonhyperellipticcurves AT bessera computinglocalpadicheightpairingsonhyperellipticcurves |