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We study Stark-Heegner cycles attached to Bianchi modular forms, that isautomorphic forms for GL(2) over an imaginary quadratic field F . TheStark-Heegner cycles are local cohomology classes in the p-adic Galoisrepresentation associated to the Bianchi eigenform. They are conjectured to bethe restriction (at a prime p) of global cohomology classes in the (semistable)Bloch-Kato Selmer group defined over ring class fields of a relative quadraticextension K/F. In this paper, we show that these conjectures hold when theBianchi eigenform is the base-change of a classical elliptic cuspform.

The rationality of Stark-Heegner cycles attached to Bianchi modular forms -- The base-change scenario