Level Raising and Anticyclotomic Selmer Groups for Hilbert Modular Forms of Weight Two

Jan Nekovář

Type: Article

Publication Date: 2011-08-30

Citations: 48

DOI: https://doi.org/10.4153/cjm-2011-077-6

Abstract

Abstract In this article we refine the method of Bertolini and Darmon and prove several finiteness results for anticyclotomic Selmer groups of Hilbert modular forms of parallel weight two.

Locations

Canadian Journal of Mathematics - View - PDF

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+	p-Divisible Groups	1967	John Tate
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+	Classical Groups and Geometric Algebra	2001	L. C. Grove
+	Class Field Theory	1990	Emil Artin John Tate
+	Elliptic curves, modular forms, & Fermat's last theorem	1996	J. Coates Shing Tung Yau
+ PDF Chat	None	1999	Frazer Jarvis
+	An Analytic Construction of Degenerating Curves Over Complete Local Rings	2004	David Mumford
+ PDF Chat	Arithmétique des Algèbres de Quaternions	1980	Marie-France Vignéras
+	p-adic periods, p-adic L-functions, and the p-adic uniformization of Shimura curves	1999	Massimo Bertolini Henri Darmon
+	L-Functions and Tamagawa Numbers of Motives	2007	Spencer Bloch Kazuya Katô