

Publisher: Cambridge University Press
E-ISSN: 1570-5846|147|3|803-838
ISSN: 0010-437x
Source: Compositio Mathematica, Vol.147, Iss.3, 2011-05, pp. : 803-838
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We generalise works of Kobayashi to give a formulation of the Iwasawa main conjecture for modular forms at supersingular primes. In particular, we give analogous definitions of the plus and minus Coleman maps for normalised new forms of arbitrary weights and relate Pollack’s
Related content


On the anticyclotomic Iwasawa main conjecture for modular forms
Compositio Mathematica, Vol. 151, Iss. 5, 2015-05 ,pp. :


Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms
Compositio Mathematica, Vol. 149, Iss. 3, 2013-03 ,pp. :


Hilbert modular forms and
Compositio Mathematica, Vol. 145, Iss. 5, 2009-09 ,pp. :


Tate–Shafarevich groups in anticyclotomic ℤ
Compositio Mathematica, Vol. 145, Iss. 2, 2009-03 ,pp. :


On the Iwasawa theory of the Lubin–Tate moduli space
Compositio Mathematica, Vol. 149, Iss. 5, 2013-05 ,pp. :