The GL_2 main conjecture for elliptic curves without complex multiplication

       Autors: J. Coates, T. Fukaya, K. Kato, R. Sujatha, O. Venjakob
       Titel:  The GL_2 main conjecture for elliptic curves without complex multiplication
       Jahr: 2004
       Seiten: 39
       In: Publ. Math. IHES. 101 (2005), no. 1, 163 208.
     

      
      Abstract: The main conjectures of Iwasawa theory provide the only general method known at present for studying the mysterious relationship between purely arithmetic problems and the special values of complex $L$-functions, typified by the conjecture of Birch and Swinnerton-Dyer and its generalizations. Our goal in the present paper is to develop algebraic techniques which enable us to formulate a precise version of such a main conjecture for motives over a large class of $p$-adic Lie extensions of number fields. The methods which we develop in general were inspired by the Heidelberg Habilitation thesis of Venjakob.

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