Plus/minus Heegner points and Iwasawa theory of elliptic curves at supersingular primes

We extend to the supersingular case the $$\Lambda $$Λ-adic Euler system method (where $$\Lambda $$Λ is a suitable Iwasawa algebra) for Heegner points on elliptic curves that was originally developed by Bertolini in the ordinary setting. In particular, given an elliptic curve E over $$\mathbb {Q}$$Q with supersingular reduction at a prime $$p\ge 5$$p≥5, we prove results on the $$\Lambda $$Λ-corank of certain plus/minus p-primary Selmer groups à la Kobayashi of E over the anticyclotomic $$\mathbb {Z}_p$$Zp-extension of an imaginary quadratic field and on the asymptotic behaviour of p-primary Selmer groups of E when the base field varies over the finite layers of such a $$\mathbb {Z}_p$$Zp-extension. These theorems can be alternatively obtained by combining results of Nekovář, Vatsal and Iovita–Pollack, but do not seem to be directly available in the current literature.