A p-adic interpolation of generalized Heegner cycles and integral Perrin-Riou twist I

In this paper, we develop an integral refinement of the Perrin-Riou theory of exponential maps. We also formulate the Perrin-Riou theory for anticyclotomic deformation of modular forms in terms of the theory of the Serre–Tate local moduli and interpolate generalized Heegner cycles p -adically.

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Bibliographic Details
Published inAnnales mathématiques du Québec Vol. 47; no. 1; pp. 73 - 116
Main Author Kobayashi, Shinichi
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.04.2023
Springer Nature B.V
Subjects
Algebra
Analysis
Interpolation
Mathematics
Mathematics and Statistics
Number Theory
Secondary 11G40
11G15
11F85
Primary 11R23
11F67
11F11
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Summary:In this paper, we develop an integral refinement of the Perrin-Riou theory of exponential maps. We also formulate the Perrin-Riou theory for anticyclotomic deformation of modular forms in terms of the theory of the Serre–Tate local moduli and interpolate generalized Heegner cycles p -adically.
ISSN:2195-4755
2195-4763
DOI:10.1007/s40316-023-00213-4