  Iwasawa theory of Heegner points on abelian varieties of GL_2 type has been
studied by, among others, Mazur, Perrin-Riou, Bertolini and Howard. The purpose
of this paper is to describe extensions of some of their results in which
abelian varieties are replaced by the Galois cohomology of Deligne's p-adic
representation attached to a modular form of even weight >2. In this setting,
the role of Heegner points is played by higher-dimensional Heegner-type cycles
that have been recently defined by Bertolini, Darmon and Prasanna. Our results
should be compared with those obtained, via deformation-theoretic techniques,
by Fouquet in the context of Hida families of modular forms.
