Stark – Heegner Points on Modular Jacobians

@inproceedings{DASGUPTA2005StarkH,
  title={Stark – Heegner Points on Modular Jacobians},
  author={BY SAMIT DASGUPTA},
  year={2005}
}
  • BY SAMIT DASGUPTA
  • Published 2005
– We present a construction which lifts Darmon’s Stark–Heegner points from elliptic curves to certain modular Jacobians. Let N be a positive integer and let p be a prime not dividing N . Our essential idea is to replace the modular symbol attached to an elliptic curve E of conductor Np with the universal modular symbol for Γ0(Np). We then construct a certain torus T over Qp and lattice L ⊂ T , and prove that the quotient T/L is isogenous to the maximal toric quotient J0(Np)p-new of the Jacobian… CONTINUE READING
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