Plectic Stark–Heegner points

We propose a conjectural construction of determinants global points on modular elliptic curves over arbitrary number fields, generalizing both the p-adic Heegner via Čerednik–Drinfeld uniformization and definition classical Stark–Heegner points. In alignment with Nekovář Scholl's plectic conjectures, we expect non-triviality these to control Mordell–Weil group higher rank curves. provide some indirect evidence for our conjectures by showing that order derivatives anticyclotomic L-functions compute invariants.