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Stark points on elliptic curves via Perrin-Riou's philosophy

Abstract:

In the early 90’s, Perrin-Riou [PR] introduced an important refinement of the Mazur-Swinnerton-Dyer p-adic L-function of an elliptic curve E over Q, taking values in its p-adic de Rham cohomology. She then formulated a p-adic analogue of the Birch and Swinnerton-Dyer conjecture for this p-adic L-function, in which the formal group logarithms of global points on E make an intriguing appearance. The present work extends Perrin-Riou’s construction to the setting of a Garret-Rankin triple product...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s40316-021-00158-6

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer
Journal:
Annales Mathématiques du Québec More from this journal
Volume:
47
Pages:
31–48
Publication date:
2021-02-15
Acceptance date:
2021-01-21
DOI:
ISSN:
2195-4755
Language:
English
Keywords:
Pubs id:
1157854
Local pid:
pubs:1157854
Deposit date:
2021-01-22

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