On the Selmer group associated to a modular form twisted by a ring class character

We bound the size of the Selmer group associated to a modular form of higher even weight
twisted by a ring class character of an imaginary quadratic field assuming the non-vanishing
of a suitable Heegner cycle. Our motivation stems from the Beilinson-Bloch-Kato conjectures
which are a generalization of the Birch and Swinnerton-Dyer conjecture.