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

Kolyvagin systems and Iwasawa theory of generalized Heegner cycles