Introduction 1 2. Special points on Shimura curves and Gross curves 3 3. Admissible primes and raising the level 6 4. p-adic L-functions and special values formulae 7 5. Selmer groups 12 6. Ramified classes and reciprocity laws 20 7. ε-BSD formulae in the definite case 23 8. ε-BSD formulas in the indefinite case 30 9. Proof of Theorems B and C 33 10. Statements and declarations 36 References 37
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