Elliptic Stark conjectures and exceptional weight one forms
A classical point of the Coleman-Mazur eigencurve is said to be exceptional if the map to weight space is non-´etale at that point. The goal of this paper is to revisit the p-adic elliptic Stark conjecture of [DLR1] concerning a triple (f, g, h) of classical modular forms of weights (2, 1, 1), and e...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Mathematical Sciences Publishers
2024
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| _version_ | 1811140530672762880 |
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| author | Darmon, H Lauder, A Rotger, V |
| author_facet | Darmon, H Lauder, A Rotger, V |
| author_sort | Darmon, H |
| collection | OXFORD |
| description | A classical point of the Coleman-Mazur eigencurve is said to be exceptional if the
map to weight space is non-´etale at that point. The goal of this paper is to revisit the p-adic
elliptic Stark conjecture of [DLR1] concerning a triple (f, g, h) of classical modular forms of
weights (2, 1, 1), and extend it to the setting where the p-stabilised eigenform g corresponds
to such an exceptional point. |
| first_indexed | 2024-09-25T04:23:27Z |
| format | Journal article |
| id | oxford-uuid:4f78703d-9775-4d68-a573-3931f245c071 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:23:27Z |
| publishDate | 2024 |
| publisher | Mathematical Sciences Publishers |
| record_format | dspace |
| spelling | oxford-uuid:4f78703d-9775-4d68-a573-3931f245c0712024-08-19T16:37:23ZElliptic Stark conjectures and exceptional weight one formsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4f78703d-9775-4d68-a573-3931f245c071EnglishSymplectic ElementsMathematical Sciences Publishers2024Darmon, HLauder, ARotger, VA classical point of the Coleman-Mazur eigencurve is said to be exceptional if the map to weight space is non-´etale at that point. The goal of this paper is to revisit the p-adic elliptic Stark conjecture of [DLR1] concerning a triple (f, g, h) of classical modular forms of weights (2, 1, 1), and extend it to the setting where the p-stabilised eigenform g corresponds to such an exceptional point. |
| spellingShingle | Darmon, H Lauder, A Rotger, V Elliptic Stark conjectures and exceptional weight one forms |
| title | Elliptic Stark conjectures and exceptional weight one forms |
| title_full | Elliptic Stark conjectures and exceptional weight one forms |
| title_fullStr | Elliptic Stark conjectures and exceptional weight one forms |
| title_full_unstemmed | Elliptic Stark conjectures and exceptional weight one forms |
| title_short | Elliptic Stark conjectures and exceptional weight one forms |
| title_sort | elliptic stark conjectures and exceptional weight one forms |
| work_keys_str_mv | AT darmonh ellipticstarkconjecturesandexceptionalweightoneforms AT laudera ellipticstarkconjecturesandexceptionalweightoneforms AT rotgerv ellipticstarkconjecturesandexceptionalweightoneforms |