A comparison of elliptic units in certain prime power conductor cases

• Autorzy: Ulrich Schmitt
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to compare two modules of elliptic units, which arise in the study of elliptic curves E over quadratic imaginary fields K with complex multiplication by $𝓞_{K}$, good ordinary reduction above a split prime p and prime power conductor (over K). One of the modules is a special case of those modules of elliptic units studied by K. Rubin in his paper [Invent. Math. 103 (1991)] on the two-variable main conjecture (without p-adic L-functions), and the other module is a smaller one, contained in the former, as studied by R. I. Yager in [Ann. of Math. 115 (1982)] (where a connection to p-adic L-functions is given).

Kategorie tematyczne

• 14K22: Complex multiplication
• 11G16: Elliptic and modular units
• 11R23: Iwasawa theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 171
• Numer: 1
• Strony: 39-65

Daty

wydano

2015

Twórcy

autor

Ulrich Schmitt

• München, Germany

Identyfikatory

DOI

10.4064/aa171-1-4