Kolyvagin’s method for Chow groups of Kuga–Sato varieties over ring class fields

Kolyvagin’s method for Chow groups of Kuga–Sato varieties over ring class fields

Using the theory of Euler systems and Nekovář’s adaptation of Kolyvagin’s descent techniques, we bound the size of Selmer groups associated to modular forms of even weight larger than 2 twisted by ring class characters of imaginary quadratic fields.

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Veröffentlicht in:Annales mathématiques du Québec 2015-10, Vol.39 (2), p.147-167
1. Verfasser: Elias, Yara
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Mathematics
Mathematics and Statistics
Number Theory
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Beschreibung
Zusammenfassung:Using the theory of Euler systems and Nekovář’s adaptation of Kolyvagin’s descent techniques, we bound the size of Selmer groups associated to modular forms of even weight larger than 2 twisted by ring class characters of imaginary quadratic fields.
ISSN:2195-4755
2195-4763
DOI:10.1007/s40316-015-0032-8